{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. 如何统计收益率？"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 目录\n",
    "1. 怎么计算累积收益率？\n",
    "2. 如何计算收益率的均值与方差？\n",
    "3. 如何用图显示收益分布？\n",
    "4. 异常值和箱形图。\n",
    "5. 随机变量。\n",
    "6. 常见的分布类型。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.怎么计算累积收益率？\n",
    "\n",
    "#### 为什么是收益率？\n",
    "\n",
    "最初的时候人们假设一个资产价格涨1元的概率和跌1元的概率是相等的，就好比扔硬币的正面反面一样。但很快人们就意识到这样做的问题。比如一个资产的价格是0.5元，显然他可能涨到1.5元但不可能跌到-0.5元（0元以下）。为了避免这个问题，人们重新假设资产涨1%的概率和跌1%的概率是相等的。\n",
    "\n",
    "\n",
    "#### 计算收益率\n",
    "\n",
    "一般人们会取的收盘价用于计算收益率，用P代表当日收盘价，如下：\n",
    "\n",
    "一天收益率 = $\\frac {P_t-P_{t-1}}{P_t}$\n",
    "\n",
    "五天收益率 = $\\frac {P_t-P_{t-5}}{P_t}$\n",
    "\n",
    "十天收益率 = $\\frac {P_t-P_{t-10}}{P_t}$\n",
    "\n",
    "累积收益率 = $cumprod (1+r_n)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dcc8ccfc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dcc8ca9710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import math\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import tushare as ts\n",
    "\n",
    "stock = ts.get_k_data('600036', start='2016-01-01', end='2016-12-31', \n",
    "                      ktype='D', autype='qfq')\n",
    "\n",
    "stock.index = pd.to_datetime(stock['date'], format='%Y-%m-%d')\n",
    "stock.pop('date')\n",
    "# stock = pd.DataFrame(stock, dtype=np.float64)\n",
    "\n",
    "returns = stock.close.pct_change()[1:]  # pct_change 快速帮助获得百分比收益\n",
    "plt.figure(figsize=(15, 5))\n",
    "plt.plot(returns)\n",
    "plt.title('Daily return')\n",
    "plt.show()\n",
    "\n",
    "r_add1 = returns+1\n",
    "cumulative_r = r_add1.cumprod()   # 快速获得累积收益\n",
    "plt.figure(figsize=(15, 5))\n",
    "plt.plot(cumulative_r)\n",
    "plt.title('Cumulative_r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.如何计算收益率的均值与方差？\n",
    "**均值计算：**\n",
    "\n",
    "|类型|描述|例子|结果|\n",
    "|:--:| :--:| :-----------: |:-----:|\n",
    "|算术均值 Arithmetic Mean|数据的和除以数据的数量|(1+2+2+3+4+7+9) / 7|4|\n",
    "|中值 Median|中间值 |1, 2, 2, 3, 4, 7, 9|3|\n",
    "|          |如果有两个一般取平均|1, 2, 3, 4, 7, 9|3.5|\n",
    "|众数 Mode|出现次数最多的数字|1, 2, 2, 3, 4, 7, 9|2|\n",
    "\n",
    "**方差与标准差：**\n",
    "\n",
    "各数据偏离平均数的距离（离均差）一般用方差衡量，其无偏估计量为：\n",
    "\n",
    "$\\sigma^2=\\frac{1}{n-1}\\sum^n_{i=1}(x_i-\\bar{x})^2$\n",
    "\n",
    "$\\sigma=\\sqrt{\\frac{1}{n-1}\\sum^n_{i=1}(x_i-\\bar{x})^2}$\n",
    "\n",
    "其中 $\\bar{x}$ 代表 $x$ 的平均数， 注意是 $n-1$ 而不是 $n$ 。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mean 0.0003078467316976011\n",
      "median 0.0005750431282345314\n",
      "mode 0    0.0\n",
      "dtype: float64\n",
      "var 0.0001471318400737501\n",
      "std 0.012129791427462802\n"
     ]
    }
   ],
   "source": [
    "r = returns.dropna()\n",
    "\n",
    "mean = r.mean()\n",
    "median = r.median()\n",
    "mode = r.mode()\n",
    "var = r.var()\n",
    "std = r.std()\n",
    "\n",
    "print('mean', mean)\n",
    "print('median', median)\n",
    "print('mode', mode)\n",
    "print('var', var)\n",
    "print('std', std)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.如何用图显示收益分布？\n",
    "\n",
    "直方图（histPlot）可以帮助我们直观的发现分布规律"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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pqTzwwANceOGFufscP348K1asYM6cOcyZM4exY8fm7m/JkiWMGzeOF198kX79+vH555/TsWNHHnzwwdwunpUqVWLbtm0Ffo7UgiciIiIiInl2shY3l8t70tfd7uL5brH7nd/vp0OHDnTp0oUbb7wx9/kePY7d36effsq3337L1KlTGTx4MKtWrTrh/ow5vndHfHw8R44cyX3s8Xh46aWXch9feOGF1KpVC4CqVasC2V1Gb731VhYtWsRtt92Wu+62bdtYvHgxAwcOpHnz5ixYsIDHHnuMmTNncuWVV3LkyBHi4+PzfyJOQS14IiIiIiJSqFlr6d27N0lJSceMRvm/QqFQ7oibzz77LPv27ePQoUOUKlWKgwcP5q7XqlUr3n//fSC7Je53tWvXZtOmTbmPMzIyOHz4MAAzZszIva8vEAiwe/duILvwnDZtGsnJycdkGTBgAIMHDwYgMzMTYwwul4uMjAwA1q1bd9w2BUEFnoiIiIiIFGrz5s1j7NixfP3117nTEnz22WfHrRcMBunatSsNGjSgcePGPPjgg5QtW5Zrr72Wjz76iJSUFObMmcMrr7zC66+/TrNmzdi/f3/u9iVKlOC8885j/fr1AOzcuZMmTZqQlJTEM888k9sN8+jRo/z1r3+lYcOGpKSkULVq1dyRNwGWLFkCQOPGjQHo3bs3DRo04Pvvv88d1GXWrFlcffXVBX6uzMnmiygsUlNTbVpamtMxRESkMBpU5k9fGk32/EM98EUqDQzaf+p1RESKkDVr1pCUlOR0jIj56KOPSE9Pzx1JM1wuueQSpkyZctzomnDic26MSbfWpp5qv7oHT0REolZLTZMgIiL5dMMNN7Bnz56wHmPXrl3079//hMXdmVKBJyIiUauOCjwRETkNt99+e1j3n5CQQPv27cOyb92DJyIiUWs3IXYTcjqGiEiRVxRu64oWZ3quVeCJiEjUmkaAaQScjiEiUqTFxcWxZ88eFXkRYK1lz549xMXFnfY+wtpF0xizCTgIBIGAtTbVGFMemADUADYBnay1e8OZQ0RERERETk+1atXYunUru3btcjpKTIiLi6NatWqnvX0k7sFrba3d/YfHjwIzrbVDjDGP5jz+ewRyiIiIiIhIPnm9XmrWrOl0DMkjJ7poXg+Myfl9DBCeuwtFRERERERiTLgLPAt8aYxJN8b0yXnuLGvtdoCcn5VOtKExpo8xJs0Yk6bmYBERERERkVMLdxfNVtbabcaYSsAMY8wPed3QWjsCGAHZE52HK6CIiESvSzQbkIiIxJiwXvmstdtyfu40xnwENAd2GGMSrbXbjTGJwM5wZhARkdh1rgaLFhGRGBO2K58xpoQxptTvvwN/AVYCU4HuOat1B6aEK4OIiMS2Xwnxq+bBExGRGBLOFryzgI+MMb8f511r7XRjzGJgojGmN7AZuCmMGUREJIZNz5kDrwc+h5OIiIhERtgKPGvtBqDRCZ7fA7QJ13FFRERERERilW5OEBERERERiRIq8ERERERERKKECjwREREREZEooQmCREQkarXRZU5ERGKMrnwiIhK1zlZHFRERiTG68omISNTaQogtmgdPRERiiAo8ERGJWjMJMDNnLjwREZFYoC6aIiKSd4PKOJ1ARERETkIteCIiIiIiIlFCBZ6IiIiIiEiUUIEnIiIiIiISJXQPnoiIRK22usyJiEiM0ZVPRESiVmV1VBERkRijK5+IiEStDYTYoHnwREQkhqgFT0REota3OXPgnYvP4SQiIiKRoRY8ERERERGRKKECT0REREREJEqowBMREREREYkSKvBERERERESihAZZERGRqHWNLnMiIhJjdOUTEZGoVVEdVUREJMboyiciIlFrLUHWEnQ6hoiISMSoBU9ERKLWgpzirg5uh5OIiIhEhlrwREREREREooQKPBERERERkSihAk9ERERERCRKqMATERERERGJEhpkRUREotYNeJ2OICIiElEq8EREJGqVwTgdQUREJKLURVNERKLWSoKs1Dx4IiISQ9SCJyIiUSstp7hL1jx4IiISI9SCJyIiIiIiEiVU4ImIiIiIiEQJFXgiIiIiIiJRIuwFnjHGbYxZYoyZlvO4pjHmO2PMj8aYCcYYX7gziIiIiIiIxIJItODdD6z5w+NngJestbWAvUDvCGQQEZEY1AkvnTQXnoiIxJCwFnjGmGrA1cDInMcGuBz4IGeVMUD7cGYQEZHYVRxDcc2FJyIiMSTcLXgvA48AoZzHFYB91tpAzuOtQNUTbWiM6WOMSTPGpO3atSvMMUVEJBotJchSzYMnIiIxJGwFnjHmGmCntTb9j0+fYFV7ou2ttSOstanW2tSEhISwZBQRkeimAk9ERGJNOCc6bwVcZ4xpB8QBpclu0StrjPHktOJVA7aFMYOIiIiIiEjMCFsLnrX2H9baatbaGsDNwNfW2i7ALKBjzmrdgSnhyiAiIiIiIhJLnJgH7+9Af2PMerLvyXvbgQwiIiIiIiJRJ5xdNHNZa2cDs3N+3wA0j8RxRUREREREYklECjwREREndNEceCIiEmNU4ImISNTyag48ERGJMfm+B88YU84Y0zAcYURERArSYoIs1jQJIiISQ/JU4BljZhtjShtjygPLgHeMMS+GN5qIiMiZWUWQVSrwREQkhuS1Ba+MtfYAcCPwjrW2KXBF+GKJiIiIiIhIfuW1wPMYYxKBTsC0MOYRERERERGR05TXAu9J4AvgJ2vtYmPMucCP4YslIiIiIiIi+ZWnUTSttZOASX94vAHoEK5QIiIiRdagMk4nON6g/U4nEBGRCMnrICu1jTEzjTErcx43NMY8Ht5oIiIiZ6YHPnrgczqGiIhIxOS1i+ZbwD8AP4C1djlwc7hCiYiIiIiISP7ltcArbq1d9D/PBQo6jIiISEGaT4D5ulyJiEgMyWuBt9sYcx5gAYwxHYHtYUslIiJSANYRYh0hp2OIiIhETJ4GWQHuAUYAdY0xvwAbga5hSyUiIiIiIiL5ltdRNDcAVxhjSgAua+3B8MYSERERERGR/MrrKJpPG2PKWmsPW2sPGmPKGWOeCnc4ERERERERybu83oN3lbV23+8PrLV7gXbhiSQiIlIwPOT9XgQREZFokNfrntsYU8xaexTAGBMPFAtfLBERkTPXVXPgiYhIjMlrgTcOmGmMeYfskTR7AWPClkpERERERETyLa+DrDxrjFkBtAEMMNha+0VYk4mIiJyhb3LmwLtUHTVFRCRG5PmKZ639HPg8jFlEREQK1MacOfAudTiHiIhIpOR1FM0bjTE/GmP2G2MOGGMOGmMOhDuciIiIiIiI5F1eW/CeBa611q4JZxgRERERERE5fXmdJmGHijsREREREZHCLa8teGnGmAnAx8DR35+01n4YllQiIiIFIB7jdAQREZGIymuBVxrIAP7yh+csoAJPREQccdgWY72tymZbiW22IttsBfbY0hygOAdscY7iJYSLIC5GEyCeLOJNFuU4SEWznwSzj2pmFzXNr5xjdlDGZDj9TxIRETljeZ0moWe4g4iIiPyZTOtjmT2X70O1WBKqxRpbna220jHrlOIwFc0BSnOYMuYwxfDjJoSbEFl4OIKPDFuM1ZzDrlBZDlL8mO2rsov6rk0kuzbR1KyjietH4k1WJP+ZIiIiZyxPBZ4xpjYwDDjLWptsjGkIXGetfSqs6UREJCZZC6vsOXwTasScUAPSQ3Xw51yyzjXbaGzWc7N7FrXML9Qwv1LF7KGUyTxuP1/lzIN3xQkud5nWx2ZbiU22MhtsImtC1VlpazIj0BSLCy8BGpmfuNS9jMtdS6hnfsaox6eIiBRyee2i+RbwMPAmgLV2uTHmXUAFnoiIFAhrYYk9n8+CFzA91Cy3ha6e2UQv9+e0cK0hxbWecuZQnve5NWcevBOJN1nUMVupw9Zjnj9o40kL1ea7UBILQvV5MdCRF+hEInto617Ete4FNDbrVeyJiEihlNcCr7i1dpE59moWCEMeERGJMdtteT4MXszk4MVssFXwEuAi1wr6uT+itXsJCRGedrWUyaS1exmt3csA2GVLMzuYwoxQU8YH2/BO8CqqmZ10cM2hk2c2Vc2eiOYTERE5mbwWeLuNMeeRPbAKxpiOwPawpRIRkahmLcwLJfPf4JV8FWpKCBfNzRr6ej6hrXsRpU/Q3dIpCeYAN3m+5Sa+5YCN58tQKh8HL+KVYAdeDd7Apa7ldHd/waWu5biMdTquiIjEuLwWePcAI4C6xphfgI1Al7ClEhGRqJRl3XwcvIgRwatZb6tRngPc6f6EW9yzqO7a6XS8UyptMunonkNH9xy2hBKYELyMicHL6Bn6O+eZX+jl/pwO7jnEGb/TUUVEJEadssAzxriAVGvtFcaYEoDLWnsw/NFERCRaZFof44NtGBlox69UIMls4gXvMK52LQxrMVQ6jPPgne3axUOuSfTzfMinoRa8HWjHY4HbeTnQgT6eT+ninklxc/TUOxIRESlAxtpTdycxxnxrrb0kAnlOKDU11aalpTl1eBER+d2gMvla/Yj18n6wNa8HrmcX5WjhWkVf9ydc6loedYOUWAsLQvV4Ldie+aFkynOAuzxT6eae4XyL3qD9zh5fRETOmDEm3Vqbeqr18tpFc4Yx5iFgAnD49yettb+dZj4REYli1sK0UAuG+G/hFxJobtYw1DuUFq4fnI4WNsbAhe7VXOheTXqoFi8HOvDvQFdGBa7iAc9kOrq/wa179EREJMzy2oK38QRPW2vtuSfZJg74FihGdiH5gbV2oDGmJvA+UB74HuhmrT3pTLJqwRMRKSTy0IK3IlSTJ/3dWGzrkmQ28ZjnXVq5VjrSYjc9Z8Dntnn+PrNgzQ/W45nAzSyz51PPbOJJ72hSXesiH0QteCIiRV6BteDl3IPX1Vo7L58ZjgKXW2sPGWO8wFxjzOdAf+Ala+37xpjhQG+yJ1EXEZEibKcty7OBzkwOXkx5DvIfz1t0cs92tNXq15PMgxcJF7pX87HrX3wauoB/+7vSMWsQN7rm8Kj3PSqZfY5mExGR6OQ61QrW2hDwfH53bLP9PhutN2exwOXABznPjwHa53ffIiJSeASsi+GBa2h99AWmBFvRx/0ps4r15xbPLHVJJLvr5jXu75hZ7CHucX/MtFALLj/6PCMD7fBbt9PxREQkypyywMvxpTGmgzH562BjjHEbY5YCO4EZwE/APmvt75OkbwWq/sm2fYwxacaYtF27duXnsCIiEiGrQ9VpnzWYIYFbaelazQzfw/zD+16hmseusChujvKwdyJf+h6hmWstTwW6clXWf0gP1XI6moiIRJG8Fnj9gUnAUWPMAWPMQWPMgVNtZK0NWmtTgGpAcyDpRKv9ybYjrLWp1trUhISEPMYUEZFIOGo9vOjvyHVZT/GrLc8b3pcZ6XuBGq4dTkcr9Gq4dvCO7zne9j5Hpi1Gx6yB/Nt/K0es1+loIiISBfJ017m1ttSZHMRau88YMxtoAZQ1xnhyWvGqAdvOZN8iIhJZS0Ln8Yj/Tn601bjR9S0DvOMoZw6dekMHVAjjPHhnqo17CRe41vB04FbeCl7DzFATnvcOp4lrvdPRRESkCMtTgWeMOeEceNbab0+yTQLgzynu4oErgGeAWUBHskfS7A5MyW9oERGJvKxAiBf8t/BW8GrOYi/veJ+htXuZ07FO6loKd6tYSXOEp72jaOdaxN/9d9AxaxB3uKfxoGey83PniYhIkZTXcaMf/sPvcWR3t0wne8CUP5MIjDHGuMnuCjrRWjvNGLMaeN8Y8xSwBHg7/7FFRCSSNuw6RL/3l7AyeC23uGfyT8+7lNJ9dgXmIvdKprse5elAF94MXsfMUBNe8b5OfdfPTkcTEZEiJk/z4B23kTFnA89aa28p+EjH0zx4IiLOsNYyKX0rg6auwudx8ax/CH9xpzsdK88+IbsVrLC35P3Rt8EGPOy/k72U5HHPeLq5Z5z5HIKaB09EpMjL6zx4eR1k5X9tBZJPc1sRESkC9mf6ue+9JTzywXIaVSvL9PsvKVLFHcAeLHtOPJZXoXWJewWfFfsHrVyr+FegJ339D7DflnA6loiIFBF5vQdvKP8/2qULSAEK940XIiJy2tJ/3ku/95bw64EQlm2aAAAgAElEQVQjPPzXOvS99DzcrsI7YEm0qWAO8rb3ed4OXsUzgZtpd/RpXvW9RlPXj05HExGRQi6vLXhpZN9zlw4sAP5ure0atlQiIuIIay1j5m+i85sLcLngg74tuaf1+SruHOAyljs8n/GB7wlcxtIp618MC1xLyOr/QkRE/lxeB1n5ADhirQ1C7gTmxa21GeGLJiIikZSZFeSfH63goyW/0KZuJV7snEKZ+KJz71q0SnH9xKe+f/AP/x08E7iFJaHzecE7XIPciIjICeW1BW8mEP+Hx/HAVwUfR0REnLB5TwY3DpvPx0t/of+VtXnrttSoKO4q46Lyad9uXniUNpm85n2Vf3n+y8xQE9pnPclPoUSnY4mISCGU16tenLU2dxbbnN+LhyeSiIhE0qwfdnLN0Dls25fJqB7N6NemFq4o6ZLZFg9t89xZpXAzBnp5pjPO+zR7bSnaZw3mq2ATp2OJiEghk9cC77AxJvcqYoxpCqhviIhIEWat5bWvf6TXmMVULVecT+69iNZ1KjkdS06hpXsNnxR7jHPMDm73P8TLgRt1X56IiOTK69eaDwCTjDHbch4nAp3DE0lERAAYVCZsuz5ivTzi78PUUCvau+byn99GEj80K2zHc8qHOfPg3ViE5sHLi6pmDx/4BvFP/+28HOjIylANXva+QUlzxOloIiLisDwVeNbaxcaYukAdwAA/WGv9YU0mIiJhsdOWoU9Wf5baWjzieY+73J+c+UTahdSBIjYHXn7EGT8veIfRILiBpwJd6Zg1kLd9z1PV7HE6moiIOChPXTSNMfcAJay1K621K4CSxpi7wxtNREQK2upQddofHcxaezbDvS9ytyd6i7tYYAz09HzBKO9z/GITaH/0SZaFznU6loiIOCiv9+DdYa3d9/sDa+1e4I7wRBIRkXCYEWxCx6xBWAyTfE/Q1p3mdCQpIJe6lzPZN5Bixk/nrAF8HmzmdCQREXFIXgs8lzH//x2vMcYN+MITSURECpK1MCJwNX38/allfmFKsQEku352OpYUsNquX/jY9y/qmZ+5y/8grweuw0ZvD1UREfkTeS3wvgQmGmPaGGMuB94HpocvloiIFISgNQwKdOfpQBfauRYxwfcklcy+U28YJarholoUzIOXVxXNAd71/ZvrXPN4LnAzDwfuJMu6nY4lIiIRlNdRNAeQ3SWzL9mDrHwJvB2uUCIicuYyrY/7/ffwZagZfdzTeNTzHi4TW006V0TJHHj5EWf8vOJ9nRqBX3k12IEdthzDjgYoWSz2zoWISCw66deaxhiPMeZZYDPQAzgfuAyodaptRUTEOXtsKW7NeowZoaYM8ozmn953Y664i2XGQH/vZJ71vMn8UH06v7mAnQc1hYKISCw4VZH2HFAeONda28Ra2xioCZQBng93OBERyb9NobPokPUEq+05DPO+TA/Pl05HcswE/Ewgdmf16eT5hpHe59mw6zA3vjGfn3YdcjqSiIiE2akKvGvIHkHz4O9P5Px+F9AunMFERKLS6NHZS5gsDZ3HjVlPsN+W4F3fv2N+pMxMLJlRPBdeXrR2L2PCnS044g/Scdh80n/eWzA7DvN7WURETs+pCjxr7fFjcFlrgxDjV0wRkUJmTjCZW7Meo4Q5wmTfQJq6fnQ6khQSDauVZfJdF1Im3sutby3ky1W/Oh1JRETC5FQF3mpjzG3/+6QxpivwQ3giiYhIfn0avIBe/keobnYw2TeIc136A16OdU6FEky+60LqJpam77h0Ji7e4nQkEREJg1MNqXUP8KExpheQTnarXTMgHrghzNlERCQPxgXaMCDQk1SzjpG+5yljMpyOJIVUhZLFeO+OC+g77nsembyc/Zl+7rjkXKdjiYhIATppgWet/QW4IGfuu/pkT5HwubV2ZiTCiYhEnZo1C2xX1sLrwet5PtCZy13f87r3VeJNVoHtPxrU1IDPxynu8zDytlQenLiUf3+2hn2ZWTz0lzoYY/K3owJ8L4uISMHJ06Q41tqvga/DnEVEJPpdemmB7CZkDf8OdOHtYDtucM3hWe8IvCZYIPuOJpfG4Dx4eeHzuHj15saUjvPy+qyf2JvhZ/D1ybhd+SjyCui9LCIiBUtXPhGRIsZv3fzd34cPQxfT0/05AzzjNMed5JvbZXj6hmTKFffyxuyfOJDp58VOKfg8avUUESnKVOCJiETSuHHZP7t2Pa3Nj1gv9/r78VWoKX/zTORe98fkt2ddLBlHdpfVrvgcTlI4GWN4pG1dyhb38vRnP3DwSIBhXZtQ3JeHPw/O8L0sIiLhoa/pREQiKRDIXk7DARvPbVmPMjPUmMGeUdznUXF3KoGcRU6uzyXn8UyHBsz5cRfd3l7E/ow8TA5/Bu9lEREJHxV4IiJFwG+2FLdkPc4SW4uh3qF083zldCSJMp2bVeeNLk1YsXU/nUcsYOeBI05HEhGR06ACT0SkkNthy9I5awDrbVXe8j7PNe7vnI4kUaptciKjejRj828ZdBy+gC2/acoNEZGiRgWeiEghttVWpFPWv9hmKzDGN4TL3MudjiRR7qJaFXn3jhbsz/TT6c0FbNh1yOlIIiKSDyrwREQiqXbt7CUPNoYq0+nov9hrSzHO9zQtXD+EOVz0qY2L2rrU5VvK2WV5v08LsgIhOr25kLW/Hjx+pXy8l0VEJHKMtYV/aO3U1FSblpbmdAwRkYhZ++tBurw8FYthrO8/1HNtdjqSxKD1oSp0yfonR/Ey1jeEBq6NBbfzQfsLbl8iIjHAGJNurU091Xr6WlNEpJD5fZALNyEm+AaruBPHnO/axiTfk5Q0mdya9RhpIbXYiYgUdirwREQiafTo7OVPpG36jVvfWkjJYh4m+Z7kfNe2iEWLRqPJYnTOXHhyeqq7djLJ9yQJZh/dsh5lXrB+9gtLs7IXEREpVFTgiYgUEnN/3E23txeRUKoYE+9sSXXXTqcjiQCQaH5jgu9JzjE76el/mK+DKU5HEhGRP6ECT0SkEPhq9Q56jVnMORWKM+HOllQpG+90JJFjJJgDvOd7irpmC338/fm0VEunI4mIyAmErcAzxpxtjJlljFljjFlljLk/5/nyxpgZxpgfc36WC1cGEZGiYNrybfQdl05S5VK836cFCaWKOR1J5ITKmUOM8z1NY7Oe+6o8wOTSlzodSURE/kc4W/ACwN+stUlAC+AeY0w94FFgprW2FjAz57GISEyamLaFfu8toUn1coy7/QLKFvc5HUnkpEqbTMb4nuHCjJX8rcp9jAu0cTqSiIj8QdgKPGvtdmvt9zm/HwTWAFWB64ExOauNAdqHK4OISKFTv372Avx3wSYe+WA5rc6vyJhezSkV53U2WxSqj5v6uJ2OEXWKm6OMPPIcV2Sl8XigNyMD7ZyOJCIiOTyROIgxpgbQGPgOOMtaux2yi0BjTKVIZBARKRSaNQNg2OyfeGb6D1xZ7yxeu7UxxTwqQsKhmYq7sImrGmKYfYUH/HfzVKArhylGP/dHGON0MhGR2Bb2As8YUxKYDDxgrT1g8vjJb4zpA/QBqF69evgCiohEkM3K4sWZPzH0mw1c16gKL3RqhNet8a7CxY8FwIuqjgIXtHgJ8Kr3NeIDWbwUuIkMW4xHPe+ryBMRcVBYCzxjjJfs4m68tfbDnKd3GGMSc1rvEoETjgNurR0BjABITU214cwpIhIJ1lqeemkKb+8tTufUs3n6xga4XfpLOJzG4wegB7q3scCtyD637hQfz3pGEM9R3gxeRyZxDPKMwWV06RYRcULYCjyT3VT3NrDGWvviH16aCnQHhuT8nBKuDCIihUUwZHn84xW8t7c4Pcpl8K8bG+BScSdRwmUsT3pGU5yjvBm8lkx8DPG8hVtFnohIxIWzBa8V0A1YYYxZmvPcP8ku7CYaY3oDm4GbwphBRMRx/mCIhyYtY8rSbdxb4TB/q5iBUXEnUcYYeNTzHvHmKC8HOpJpi/GS9w28Juh0NBGRmBK2As9aOxf+9KYHjaksIjHhaCDIve8uYcbqHTzStg53b5rrdCSRsDEGHvB8SHGO8nSgC0f8Pl7zvkqc8TsdTUQkZujOfhGRMMnMCnL7mDRmrN7BE9fV5+7Lznc6kkhE9PF8ymDPKL4KNeUO/9/IsMWcjiQiEjMiMk2CiEisOXDET+/Ri0n/eS/PdmxIp9Szs19ISXE2WIxJ0TQJ4VP55Oe2m+cr4s1RHvHfSbesRxnle44yJiNC4UREYpcKPBGRArb3cBa3jVrEmu0HePWWxlzTsMr/v6gCL6JU4IXRKQo8gI7uOZTgCP3893FL1uP81zeEiuZABMKJiMQuddEUESlAOw8e4eYRC1m74yBvdmt6bHEHkJGRvUhEZGDJQCM5hoXfZi+ncJV7MSO9z7PBJtIp619ss+UjEE5EJHapwBMRKSC/7Muk0/AFbNmbwegezWiTdNbxK02cmL1IREzEz0Q0wEdYrPJnL3lwqXs5Y31D2GXLctPRgWwMVQ5zOBGR2KUCT0SkAGzcfZhOwxew53AWY3tfwIXnV3Q6kkih0sy1lvd8T5FJMW7K+hdrtqurpohIOKjAExE5Q2t/PUinNxeQ6Q/y3h0taHpOOacjiRRKya5NTPQ9iYcgnd9cwPeb9zodSUQk6qjAExE5A8u37uPmEQswwIQ+LUiuWsbpSCKF2vmubUzyPUG5Ej66jvyO+et3Ox1JRCSqqMATETlN89fv5pYRCylRzMOkvi2pdVYppyOJFAlnu3Yz6c6WVCsXT4/Ri5mxeofTkUREooYKPBGR0zB95XZ6vLOYauWKM/muCzmnQom8bZiamr1IRKTiJlVTJYRHFXf2cpoqlY5jQp+WJFUuRd9x6UxZ+ksBhhMRiV0q8ERE8mnC4s3cPf57kquWZsKdLTirdFzeN05Ozl4kIpJxk6wCLzwqubOXM1CuhI/xd7Qg9ZxyPDBhKeMW/lxA4UREYpcKPBGRfBj+zU/8ffIKLq6VwLjbL6BscV/+drB/f/YiEbEfy37NgxceR2z2coZKFvMwpldzWtepxOMfr+SN2euxVv9nIiKnSwWeiEgeWGv5z2drGPL5D1zbqApv3ZZKcZ8n/zv66KPsRSLiI/x8pHnwwuMHf/ZSAOK8bt7s1pRrG1Xh2elreerTNYRCKvJERE7Hafx1IiISWwLBEP/8aAUT07ZyW8tzGHRtfVwu43Qskajidbt4pXMKFUr4eHvuRnYdPMrzNzXC59F30SIi+aECT0TkJI74g/R7bwlfrt7B/W1q8cAVtTBGxZ1IOLhchoHX1iOhVDGe+2ItezOyGNa1KSWL6c8VEZG80tdiIiJ/4uARPz3fWcyXq3cw6Np6PHhlbRV3ImFmjOGe1ufzbMeGzP9pD7eMWMjuQ0edjiUiUmToKzEREYBBx05Q/qstR4+sR1hvq/Ky903az5gHMwrgOEuzsn9uur8AdiYSvTqlnk2FEj7uefd7Og6bz397XUD1CsWdjiUiUuipBU9E5H+sDVXjhqNPstUmMMr7HO3d8wpu59Xc2YtEREvctNQ0CeERgfdym6SzGH97C/Zl+rlx2HxW/qIRaEVETkUFnojIH8wP1qNj1kCCuJjgG8wl7hUFe4CK7uxFIqIObuqowAuPCL2Xm55Tjg/6tsTnNtw8YiHz1+8O+zFFRIoyFXgiIjmmBC+ku/9RKpu9fFTsX9R3hWHS5YxQ9iIRsZsQu9H5DosIvpfPr1SKD+9uRdWy8XR/ZxGfLNsWkeOKiBRFKvBEJOZZa3kjcC33+++liVnHB74nqGr2hOdg6wLZi0TENAJMQ+c7LCL8Xq5cJo6Jd7ak8dnluO+9JQz/5idNiC4icgIq8EQkpgWCIQZMWcmzgVu4zjWP//qGUMYcdjqWiJxAmeJe/tu7Odc2qsKQz3/gnx+tJBBUC62IyB9pFE0RiVkZWQH6vbeEr9bspK97Ko94JuAyahEQKczivG5e6ZzC2eXieWP2T/yyL5PXb21MqTiv09FERAoFteCJSEzadfAot7z1HV//sJMnr6/Po973VdyJFBEul+GRtnUZcmMD5q3fzU3DF7B9f6bTsURECgUVeCISc9ZsP0D71+ex9tcDDO/alNta1nA6koichpubV+edHs3YujeT9q/P0zQKIiKowBORGPPV6h10GDafQCjEpDsv5C/1K0c2wDme7EUi4hI8XKK7EcKjkLyXL6mdwAd3tcRtDDcNX8D0lb86HUlExFEq8EQkJlhrGfHtT9wxNo3zEkoy9d6LaFCtTOSDlHNlLxIR5+LiXF3qwqMQvZfrVi7Nx/e0ok7lUvQdl85rX/+oETZFJGYVjk9mEZEwygqEeOSD5Tz92Q9clVyZiXe25KzScc6EORTKXiQifiXEr5oHLzwK2Xu5Uuk43u/TgvYpVXj+y3X0e38pR/xBp2OJiESc830rRETCaM+ho9w1/nsWbfyNfm1q8UCbWrhcxrlA63PmDUvxOZchhkzPmQOvBzrfBa4QvpfjvG5e6pxC7cqleO6Ltfy85zAjuqVSuYxDX+iIiDhALXgiErVWbN3PtUPnsnTLPl65OYX+V9Z2trgTkbAzxnD3ZefzZtemrN95iOtey/4MEBGJFSrwRCQqTU7fSofh87N/73sh16dUdTiRiETSX+pXZvJdF+J1u+j05gImLt7idCQRkYhQgSciUcUfDDFo6ir+NmkZTaqX5ZP7HBpMRUQcl5RYmk/uu4hmNcrxyOTl/OPDFRwN6L48EYluKvBEJGrsPnSULiO/Y/T8TfS+qCbjel9AhZLFnI4lIg4qX8LHmJ7N6Xvpeby3aDOd3lyoSdFFJKppkBURiQrfb97LPeO/57fDWbzUuRE3NK7mdKQTq6mP3Uhqo8tc+BSh97LH7eLRq+rSqFoZHpq0jGuHzmXoLU1oeV4Fp6OJiBS4sLXgGWNGGWN2GmNW/uG58saYGcaYH3N+lgvX8UUkNlhrGTlnA52GL8DtMky+68LCW9wBlHFlLxIRZ+PibHVWCY8i+F6+qkEiU+5tRel4L13f/o63vt2g+fJEJOqE85N5NND2f557FJhpra0FzMx5LCJyWvZn+uk7Lp2nPl1D67qV+PS+i0muWsjvt9sfyl4kIrYQYovmwQuPIvpePr9SKabc04orkirx78/WcMd/09iXkeV0LBGRAhO2As9a+y3w2/88fT0wJuf3MUD7cB1fRKLbiq37uWboHGau2cnjVycxoltTyhT3Oh3r1DYGsheJiJkEmInOd1gU4fdyqTgvw7s2ZeC19fhm3S7avTKH9J//908WEZGiKdJ9K86y1m4HyPlZKcLHF5EizlrL2IU/02HYfAJBy4Q7W3L7xedijOa3E5G8M8bQs1VNJt91IR63i05vLmT4Nz8RCqnLpogUbYW287wxpo8xJs0Yk7Zr1y6n44hEve3bR7N9+2inY5zUb4ezuHNsOgM+XsmF51fg034X0/Qc3corIqevYbWyTOt3EX+tfxZDPv+BXmMW89vhwtNlsyh8NotI4RLpAm+HMSYRIOfnzj9b0Vo7wlqbaq1NTUhIiFhAESmc5vy4i7Yvf8ustTv5Z7u6jOrejPIlfE7HEpEoUDrOy+u3NmHw9fWZv34Pf335W75Zpy+XRaRoinSBNxXonvN7d2BKhI8vIkXM0UCQp6atptvbiygd7+Xje1rR55LzcLnUJVNECo4xhm4ta/DxPa0oV9xL91GLGDhlJZlZmhhdRIqWsE1iY4x5D7gMqGiM2QoMBIYAE40xvYHNwE3hOr6I5E/58v876K3zftxxkH7vL2XN9gPc1vIc/nFVEvE+t9Oxzsz5RWfusGjQVvPghU+UvpfrVSnN1Hsv4tnpaxk1byNz1+/mlZsbOzZCb2H8bBaRws0UhflfUlNTbVpamtMxRCRCgiHLO/M28twXaylZzMOzHRvSJums8B50UCGfXkEk2gza73SCU5r7427+Nmkpew5l8eCVtel76Xm41XtARBxijEm31qaear1CO8iKiERWZuYGMjM3OB2Dn3YdotObC3jq0zVcXCuBzx+4OPzFXSTtDWUvEhEbCLFB8+CFRwy8ly+qVZEvHriEv9avzHNfrOWm4fNZv/NQRDMUls9mESk6orN/hYjk27593wIQH3+uI8cPhiyj5m7k+S/XEud183LnFK5PqRJ90x/8nDNvWDkNEBMJ3+bMgXcuOt8FLkbey2WL+3jt1sZcufQsBn2yinavzuH+NrW485Jz8bjD/z2505/NIlL0qMATEcf9tOsQD09axveb93FF0lk8fUMylUrHOR1LRATIHoClfeOqtDq/IgOnruS5L9by+crtPNuhEfWqlHY6nojIMVTgiUjk5dzvdtR6GBG8hqGB9sSTxcveMVy/YR7mRYfziUj4Fcb7Xk9xX2BCqWK80aUpn6/YzoApK7nutbncfdl53HP5+RTzFPEBoEQkaqjAExFHLAgm8XigFz/ZqlztWsBA71gqmX1OxxIROaWrGiTS4twKDJ62mle/Xs+0FdsZfH0yrc6v6HQ0ERENsiIikbXn0FH6Z/XlFv8AsvAy2juE131DVdyJSJFSroSPFzunMLpnMwJBS5eR33Hfe0vYceCI09FEJMZpmgQRASArazcAPl94voEOhSwT07bwn89/ICMzkz7uadzr+Zh4kxWW4xVaGTmjDhbX92uRsDtnBM2K+j6z4EXje/k0p2444g8ybPZPDPvmJ3xuFw9eWZvuLc8pkEFYwv3ZLCJFR16nSVCBJyJht2jjbzw5bRUrfzlA8xrl+fe23tRy/eJ0LBGRY53h3Hybdh9m4NRVfLNuF3Url+LJ65NpXrN8AYUTkVinAk9E8iUjYy0AxYvXKbB9bvktgyGf/8CnK7aTWCaOR6+qy3WNqmCeKFtgxyhydgezf1bUgAyRsJbs810Hne8Cp/fyCVkLX4Sa8YT/NrZTgbauRTzqeY8arh2ntb+MRxYBBfvZLCJFU14LPA2yIiIA7N+/ACiYPyIOHQ3wxqz1jJy7EZeBB66oxZ2XnEe8T38IslV/FEfSAhV44aP38gkZA23di7nUtYyRwXYMC1zHzKwm3Ob+kn6ejyhjDudrfwX52SwisUEFnogUmKxAiPcXb+bVmevZfegoNzSuyiNt65BYJt7paCIiERVvsrjP8zGd3bN5IXATo4Jt+SB4Cfd7PqSrewY+E3Q6oohEKRV4InLGgiHLx0t+4aWv1rF1bybNa5RnxG1NaVK9nNPRREQcVcns4xnvW3R3f8HTgS48GbiNUcG23O/+kBvcc/GYkNMRRSTKqMATkdNmreXL1Tt44cu1rNtxiPpVSvNU+2QurZ2AMcbpeCIihUY912bGev/D7FAjXgh04uFAX4YFr+N+z2SudS3EZQr/mAgiUjSowBORfLPW8tWanbz29Y8s27qfcxNK8PqtTbgquTIulwo7EZETMQZau5dxmWsZX4ZSeTHQkfv99/GGuZ4HPR/wV1ca+m5MRM6URtEUEQACgezhwT2eMn+6TjBk+XTFdt6YtZ4ffj1ItXLx3Hf5+XRoUi1/8z0N+vNjRL0jOZ+5cforLhL2k32+y6DzXeD0Xj5jIWuYFmrBy4EObLBVqGs2c5dnKle7FuZ23Qw8vhk4+WeziMQGjaIpIvlysj8esgIhPl7yC8O++YmNuw9zfqWSvNipEdc1qlIgE/nGFP0xHFEq7MJI7+Uz5jKW69wLaOf6jqmhCxkWuI77/ffyvOlEH/c0bnJ/Q5wKOxH5v/buPDjO+r7j+Pu7q5VW923Jtw0GhA2xjYm5w2kDk3IESEpKW5I0k7ZTMk3bzDSZTJomTTOkkzQkzTVJmpahHSAhB+QkxARwQsE2tiAIjG18IFkWPmTd12r32z/2kSwUgWVptbtafV4zO8/z/J7f8/i7y5fV893n+J0incETEQB6el4EoKTknNG2jr4hHtjazL1P7+dQ5wCrFpRx15UruHbVNC/FnMtn8A4HT86bp0fLp8OLwTAJ52iYhNRTLqdcwo1NibV8ffgmdvgZ1NDJHVcu5T3nlbCwdnWmwxORDNMZPBE5Jd3dyR9RSkrOYc/hbv7rd/v5wfYWBmIJLj69ms/dci5X6OEp09eqg+J02qYCb+Yol1MuZM6G8HauCW3nWW/gG8M38uXflPPNzce55TzjzouX0VBflukwRSTLqcATEQDiCXj2QD4P/2ILT+06Qn5eiHetWcj7L9UBhYhIOpnBhbaTC/N3svmWr/L95wv50Y6D3L+lmQuWV/H+S5Zxzdl1ukReRCakAk9kjjvY0c/3tzXzwLNVtHWHmVfaxUc3nsl71y+huqQg0+GJiMxpK2rjfPyaHj5z6408uLWZ+545wF/9z3YWlEf547cv4bbzF7GwojDTYYpIFlGBJzIHxeIJNr18mAe2vsaTu44AsH5xnA9f1sO7L76d/Dz9Kiwikk0qivL5y8tP54OXncaml1/nvmcOcM+mXdyzaReXrqjhPecvZsPKOqIRXTIrMtepwBPJdcEDTdyh0U/n4fgl/DR+EUcpp4527go/yXvCvyEv1AovQf7jf53hgEVE5M2EQ8bGVfVsXFVPy/E+Hnquhe9va+HD9++gvDDCzWsWcPPahaxZXKF7pkXmKD1FUyTHvfpPDTwcv4SHExdzwOvJZ4irQzu4NbyZK0KNo2MtxUPJ74JwQgcEMyoWfOdG9DmnQ18wDl6RhktIPeVyWsQ/eQiAcLjoTfskEs7Trx7jwW3NPNrUxtBwgsVVhdzwtgXcsHoBDfWlKvZEcsBkn6KpAk8kx7g7u17v4dGmNn75YhsvHeoiRIKLQ03cGHqa68JbKLP+TIcpIiKT8c+dp9S9sz/Gr5raeOT5Vp5+9RjxhLNiXgk3vG0B151Tz5l1JSr2RGYpFXgic0gi4exo7uBXTW082tTG/mN9mMF5Syq5/uBXuDH8f8yzjrfcR3dJ8pHnpT26f2NGtQWPlq/X55wOjcEwCWs0TELqKZfTokVQXykAAA8LSURBVPsfngSgtHTNKW97tGeQX7zYxk8aW9myvx2AJVVFbFhZx4aVdZy/tFJP4hSZRVTgSWpl48DUp/irZq5p7x1i8+4jPLnrCE/tOsrRnkHyQsZFp1dz7ap6Nq6sY15ZdNL/7Q7VDwEwvy1/JsOWxuTnzBp9zunw3yQ/7/ehzzvllMtpkarv5te9gl/Hz+OxxPk8nVjFEBEq6Oaq0A4uDz/PpaEXqbbuye1sjv/9FckUDXQukmMGh+O80NLJ5l3Jou6Fg524Q2VRhMvOqOWqhnlc2TCP8sJIpkMVEZEsU2cd3JH3OHfwOD0eZXPiXB6Ln8/jibX8MPEOAM6xfVwWeoHLQr9nXWgXBTac4ahFZCpU4IlkqcHhOM83d/LM3mM8u+8Yzx04zkAsQchgzeIKPnL1mVx+Vi3nLiwnHNL9FCIiMjklNsD14a1cH95K3I0XfTmbE+fyVPxtfDv+Tr4Rv4kog6wL7WZ96GXW207WhvYQtVimQxeRSVCBJ5IlDncP0PhaBzuaO9h+4DiNzR0MDicwg4b6Mt67fgkXLK/mwtOqqCjSJVEiIjJ9YXNW215Wh/ZyV97D9HiUZxIr+W3iHLYkGrhn+FacEBGGWW2v8vbQTtY2tbFmcUXyNgARyToq8EQyoLMvRtOhTl5q7eL5lk52vHacluPJJ1tGwsbK+WX8yQVLuOi0atYvV0EnIiLpUWIDXBPezjXh7QB0ehHPJc5kS6KBLYkGvh1/J8P3PQfA/PIoqxdVsHpxBasXl7Nyfpn+XolkARV4IjNoOJ7gQHsfew73sPNQN02tnTS1dnGw48QwBQvKo6xdWsn7Ll7G2iWVrFpQRjSS/qfS1b2ue/fS4lx9zul0B/q8Z4xyOS0y/d1cbn1cFW7kqnAjAAMeoekDu3m+uYPG5g6eb+ngl01to/3ry6I0zC+lob6Ms+eXclZ9KafVlJCfp6d1iqSLCjyRFBiIxdl7pJfdh7t59XAPe470sOdwD/uO9hKLJ59UawbLq4tZu6SCP71wKasWlLFyQRk1JQUZjj4p5LqPLy3C+pzTKaIBzmeOcjktsu27OWox1i2tZN3SytG2471DvHCwk52HunilrZuX27r53Z69o3//ImHj9NoSGupLWV5TwrKaIpbXFLOsppiyqH4oEEk1FXgik5BIOIe7B2k+3kdzex/N7f2j8y3H+2nt7GdkxJGQJccZWjGvlKsa6lgxr2T0VVKQvf/LdZUmx7Qq69aYVjPqYDB22EJ9zumwNRgH7+0aBy/1lMtpMRu+myuL87n8zFouP7N2tC0WT7D3SC8727rY2dbNzkNdbNnXzo8bW9+wbXVxPstqillWXczymiKWVhezsLKQBeWF1JYW6CFiIlOQvUebc1k2jjmXw2LxBIe7B3m9a4DDXQO83pWcb+sa4HDXIK2d/bQc72doOPGG7erKClhcWcT65VUsqSrijLoSVjy0kWXWRrQ3BvtIvmaJ3uLsP4jICUd0UJxOTSrwZo5yOS2y8rt5EscpEeCs4HXTmPaBgggHvI59Xs9+r2f/QD37Xqvntwfq+QFVb9hHHsPUcZyFdpQFdoz5diyYtlNrHdRYJzV0Zu9wDhovcHKy8bh3lv+3y0iBZ2bXAV8GwsB33P3uTMQhucfd6R2K0z0Qo7M/RnvPEO19Q7T3DnGsJzlt7xtKtvcOcax3kKM9Q3+wn7yQUVcWZV5ZAQ31pWw4u45FVUUsrixkcVURCysKJ75P7ofNaXiXIiIis1PUYpxlLZxFyx+s6/UCXvN5HPJqWr2aVq8JptVs8zNpS1QxPMGhaxm91FgntSSLvlrrpMY6KaeXcuulnF4qrGd0WkofYfN0vF2RjEh7gWdmYeBrwAagBdhqZo+4+0vpjkUyzx2GyKOfAvoooN8LRuf7Ruej9Hs+fUTp9iK6KEpO791G90CMroFhugdidAfTxFt8Z5cXRqguzqeqOJ8l1UWct7SCurJo8CoYna8qyieky0JERETSptgGOduaOZuJfyyNu3GUcg55NUe9nKNexhEqgvlyjng5L/tSnkqU003xW/5bZeOKvzL6KLIBSuiniEGKbYDicfPFNkgRyT6FNkQBQxQQo4AYpkMGySKZOIO3Htjj7nsBzOwBkmfvZ22B5+64g4/MQ7Dso/dluUNidN2JPozpN7rOy5LzhIKpBa8x8w6MaU+M65vAiBMKXmHihEgQYpgQCQ8x/Ia28Jj+yfa4h0a3H+lzYr0xRISY5zFEHkNEklM/MR8baR/fZ9x2fRQQP4VLp4wEpfRTSh9lHf2URvNYWBGlLFpKaTSP0miE0mgeZYURyqIRqoJirqo4n8qiCHlhPcVLRERkNgqbU0cHddZx0r5DHqaTYjq9JJgW00FJcjqmrZPkchuV9CWi9JJ8TXSm8K3kB8VelCEKLFn0FXx5MwWRENG8MAWREAV5IQrywkTCISJhIy9s5IVC5IWMvJG2UChoP9EWDhmRkfZw0D+U3N7MCJkRNiNkYJbsPzIfMoJlw8bMh4xgGrxCY5chFDKM5D6AYB4MAxuZT64fWZfsZyfm7cTyhPtSVTxjMlHgLYQ3/DTTAlyQgTim5dLPP87BjhMP1kitb87ETlMuj2EiDJPPMPnEklMbM0+MiA1TRh/5xCgY6R86sb6IQQptiEKSv4oV2iCFDAXtg0H7IEXBfDEDhEYuq/jb2X19tIiIiMyMfItTSxe11nXK245cXdRHlB6PJqcU0ucFQQGYnB8ijwHyGfQIg0QYJD859WC+Yi2DwwkGYwmO9w4xOJxgIBYnFndi8QTDCWd4dOoMJxJveRVSrvnCu1dz27pFmQ4jJ5nPTIXy5v+g2buBa939g8HynwHr3f3D4/p9CPhQsHgW8EpaA5XJqgGOZjoIyRnKJ0kl5ZOkkvJJUkW5JFO11N1rT9YpE2fwWoDFY5YXAa3jO7n7t4BvpSsomRoz2+bu52c6DskNyidJJeWTpJLySVJFuSQzLRM3JG0FzjCz5WaWD9wOPJKBOERERERERHJK2s/gufuwmd0FPEpymITvuntTuuMQERERERHJNRkZB8/dfw78PBP/tqScLqOVVFI+SSopnySVlE+SKsolmVFpf8iKiIiIiIiIzAwNCiYiIiIiIpIjVOCJiIiIiIjkCBV4clJmVmVmj5nZ7mBa+Sb97gz67DazOydY/4iZvTjzEUs2m04+mVmRmf3MzHaaWZOZ3Z3e6CUbmNl1ZvaKme0xs49NsL7AzB4M1j9rZsvGrPt40P6KmV2bzrglO001n8xsg5k9Z2a/D6ZXpTt2yT7T+X4K1i8xsx4z+2i6YpbcowJPJuNjwCZ3PwPYFCy/gZlVAZ8CLgDWA58ae+BuZrcAPekJV7LcdPPpC+7eAKwFLjGz69MTtmQDMwsDXwOuB1YC7zWzleO6/QVw3N1XAF8CPh9su5Lk0DyrgOuArwf7kzlqOvlEcqDqG9z9XOBO4L70RC3Zapr5NOJLwC9mOlbJbSrwZDJuAu4N5u8Fbp6gz7XAY+7e7u7HgcdIHkBhZiXA3wOfTUOskv2mnE/u3ufuvwFw9yFgO7AoDTFL9lgP7HH3vUEOPEAyp8Yam2MPAVebmQXtD7j7oLvvA/YE+5O5a8r55O473L01aG8ComZWkJaoJVtN5/sJM7sZ2Esyn0SmTAWeTEadux8CCKbzJuizEGges9wStAH8C/BFoG8mg5RZY7r5BICZVQA3kDwLKHPHSXNjbB93HwY6gepJbitzy3TyaaxbgR3uPjhDccrsMOV8MrNi4B+BT6chTslxGRkHT7KPmf0aqJ9g1Scmu4sJ2tzM1gAr3P3vxl9nLrlrpvJpzP7zgPuBr7j73lOPUGaxt8yNk/SZzLYyt0wnn5IrzVaRvMxuYwrjktlpOvn0aeBL7t4TnNATmTIVeAKAu1/zZuvM7HUzm+/uh8xsPnB4gm4twBVjlhcBTwAXAevMbD/JfJtnZk+4+xVIzprBfBrxLWC3u9+TgnBldmkBFo9ZXgS0vkmfluDHgHKgfZLbytwynXzCzBYBPwL+3N1fnflwJctNJ58uAG4zs38DKoCEmQ24+1dnPmzJNbpEUybjEZI3kBNMH56gz6PARjOrDB6GsRF41N2/4e4L3H0ZcCmwS8XdnDflfAIws8+S/IP4kTTEKtlnK3CGmS03s3ySD015ZFyfsTl2G/C4u3vQfnvwFLvlwBnAljTFLdlpyvkUXCb+M+Dj7v67tEUs2WzK+eTul7n7suB46R7gcyruZKpU4Mlk3A1sMLPdwIZgGTM738y+A+Du7STvtdsavD4TtImMN+V8Cn4t/wTJp5NtN7NGM/tgJt6EZEZwz8pdJAv+l4HvuXuTmX3GzG4Muv0nyXta9pB8wNPHgm2bgO8BLwG/BP7G3ePpfg+SPaaTT8F2K4BPBt9FjWY20T3FMkdMM59EUsaSP2qKiIiIiIjIbKczeCIiIiIiIjlCBZ6IiIiIiEiOUIEnIiIiIiKSI1TgiYiIiIiI5AgVeCIiIiIiIjlCBZ6IiMwZZvaEmV07ru0jZvb1t9imZ+YjExERSQ0VeCIiMpfcT3Lw4bFuD9pFRERmPRV4IiIylzwE/JGZFQCY2TJgAdBoZpvMbLuZ/d7Mbhq/oZldYWY/HbP8VTN7XzC/zsyeNLPnzOxRM5ufjjcjIiIyngo8ERGZM9z9GLAFuC5ouh14EOgH3uXu5wFXAl80M5vMPs0sAvwHcJu7rwO+C/xrqmMXERGZjLxMByAiIpJmI5dpPhxMPwAY8DkzeweQABYCdUDbJPZ3FnAO8FhQE4aBQ6kPW0RE5ORU4ImIyFzzY+Dfzew8oNDdtweXWtYC69w9Zmb7gei47YZ545UvI+sNaHL3i2Y2bBERkZPTJZoiIjKnuHsP8ATJSylHHq5SDhwOirsrgaUTbHoAWGlmBWZWDlwdtL8C1JrZRZC8ZNPMVs3kexAREXkzOoMnIiJz0f3ADznxRM3/BX5iZtuARmDn+A3cvdnMvge8AOwGdgTtQ2Z2G/CVoPDLA+4Bmmb8XYiIiIxj7p7pGERERERERCQFdImmiIiIiIhIjlCBJyIiIiIikiNU4ImIiIiIiOQIFXgiIiIiIiI5QgWeiIiIiIhIjlCBJyIiIiIikiNU4ImIiIiIiOSI/wcqWbTFxDi78QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dcc8d03630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy import stats\n",
    "\n",
    "x = np.linspace(-(mean + 4*std),\n",
    "                (mean + 4*std), len(returns))\n",
    "\n",
    "y = stats.norm.pdf(x, mean, std)\n",
    "\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.plot(x, y)\n",
    "plt.hist(returns[1:], bins = 20)\n",
    "plt.xlabel('Value')\n",
    "plt.ylabel('Occurrences')\n",
    "plt.vlines(mean, 0, 60, linestyles='dashed'\n",
    "           , alpha=0.5, color='g', label='mean')\n",
    "plt.vlines([std, -std],  0, 25, linestyles='dashed'\n",
    "           , alpha=0.5, color='r', label='std(68.3%)')\n",
    "plt.vlines([2*std, -2*std], 0, 10, linestyles='dashed'\n",
    "           , alpha=0.5, color='y', label='2*std(95%)')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 如何计算百分位？\n",
    "百分位数 Percentile：如第五百分位，它表示在所有测量数据中，测量值的累计频次达5%。以回报率为例，回报率分布的第五百分位表示有5%的回报率小于此测量值，95%的回报率大于此测量值。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-0.018601200800533735\n",
      "0.01941567989610419\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dcc8c54ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(returns.quantile(0.05))\n",
    "print(returns.quantile(0.95))\n",
    "\n",
    "def HistPlot(data):\n",
    "    fig = plt.figure(figsize=(15, 5))\n",
    "    plt.hist(data[1:], bins = 20)\n",
    "    plt.vlines([data.quantile(0.05), data.quantile(0.95)], 0, 15, linestyles='dashed'\n",
    "               , alpha=0.5, color='r', label='Quantile5')\n",
    "    plt.legend()\n",
    "    plt.show()\n",
    "    \n",
    "HistPlot(returns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. 异常值处理：箱形图，缩尾和截尾\n",
    "\n",
    "真实数据存在异常值，比如黑色星期五。如果你的目的不是研究黑色星期五而是研究一个更加普遍的规律，那么发现并处理这些异常值就是很值得去做的事情。\n",
    "\n",
    "箱形图是一种描述数据的方式，箱形图有5个参数： \n",
    "\n",
    "下边缘（Q1），表示最小值； \n",
    "\n",
    "下四分位数（Q2），又称“第一四分位数”，等于该样本中所有数值由小到大排列后第25%的数字； \n",
    "\n",
    "中位数（Q3），又称“第二四分位数”等于该样本中所有数值由小到大排列后第50%的数字； \n",
    "\n",
    "上四分位数（Q4），又称“第三四分位数”等于该样本中所有数值由小到大排列后第75%的数字； \n",
    "\n",
    "上边缘（Q5），表述最大值。 \n",
    "\n",
    "箱形图的上边缘和下边缘是理论最大最小值而不是实际上的最大最小值，其计算方式是：\n",
    "\n",
    "上边缘：Q3 + 1.5*（Q4-Q2）\n",
    "\n",
    "下边缘：Q2 - 1.5*（Q4-Q2）\n",
    "\n",
    "超出上下边缘的数，箱形图标记其为‘异常值’，用圈圈表示。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dcc8884240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pd.DataFrame(returns).boxplot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "缩尾：缩尾是指是将尾部数据统一调整为同一个值，比如把超过最大1%的数值调整为1%分位数的值。\n",
    "\n",
    "进一步的，你可以只对过大的异常值缩尾而不处理过小的异常值（右缩），只对过小的异常值缩尾而不处理过大的异常值（左缩），同时对过大的异常值和过小的异常值进行处理（双缩）。\n",
    "\n",
    "当然另一种办法就是直接抛弃这些数据，这种做法被称为截尾"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dcc9049390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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8dtVV4xMAQD/oWzAA5vxiIrXWK2qto7XW0cWLF8/17gAAAAbeTIPaplLKkiTp/X20fyUBAADMbzMNap9Pclbv9llJPtefcgAAAJgyqJVSPp3k9iSHlVLGSim/m+TiJG8tpdyf5K29+wAAAPTBlL+jVms9cwcPndjnWmByy5d3XQEAMEz0LRgAUwY16NzrXtd1BQDAMNG3YADM+VUfYda2bh2fAAD6Qd+CASCo0b5rrhmfAAD6Qd+CASCoAQAANMY5agyNkVU3dl0CfaAdAQAcUQMAAGiOoAYAANAYQx9p34oVXVcAAAwTfQsGgKBG+3yZAgD9pG/BADD0kfY9+eT4BADQD/oWDABBjfZdd934BADQD/oWDABBDQAAoDGCGgAAQGNcTATmKT8sDTB/+M5/vt/69reSJNffM/nrsuHiU3dnOTApR9QAAAAa44ga7Rsd7boCAGCI3PnKf9F1CTAlQY32HXFE1xUAAEPkvsUjXZcAUzL0kfb95CfjEwBAH+zz9M+yz9M/67oM2ClBjfatXj0+AQD0wUn33Z6T7ru96zJgpwQ1AACAxghqAAAAjRHUAAAAGiOoAQAANMbl+WnfG9/YdQUAwBD55i+/pusSYEqCGu077LCuKwAAhshDi5Z2XQJMydBH2vfYY+MTAEAfLHzyJ1n4pN9opW2CGu374hfHJwCAPjjxwTty4oN3dF0G7JSgBgAA0BhBDQAAoDGCGgAAQGMENQAAgMa4PD+7bGTVjbt1fwf907NJkofv2b37BQCG09cPOqLrEmBKghrNe/jlr+y6BABgiOhbMAgMfaR5i3/64yz+6Y+7LgMAGBL6FgwCQY3mnfDdtTnhu2u7LgMAGBL6FgwCQQ0AAKAxghoAAEBjZnUxkVLKhiRPJHk2yTO11tF+FAUAADCf9eOqj/+q1vpYH7YDAABAXJ6fAfAPv3J01yUAAENE34JBMNugVpP8bSmlJvlvtdYr+lATPM/GfRd3XQIAMET0LRgEsw1qx9daHymlvCLJzaWUe2qtX524QCnlnCTnJMmrXvWqWe6O+WjJ45uT+FIFAPpD36K/Rlbd2HUJk9pw8aldlzArs7rqY631kd7fR5OsTvL6SZa5otY6WmsdXbzYh4Fdd/z3vpXjv/etrssAAIaEvgWDYMZBrZSydylln223k7wtyV39KgwAAGC+ms3QxwOSrC6lbNvOX9dav9yXqgAAAOaxGQe1WutDSVwyBwAAoM9mdY4aAAAA/ed31Gje/1l2XNclAABDRN+CQSCo0bzNL13YdQkAwBDRt2AQGPpI8w76px/moH/6YddlAABDQt+CQeCIWvxIX+v+5cPjv/rw8Mtf2XElAMAw0LdgEDiiBgAA0BhBDQAAoDGCGgAAQGMENQAAgMa4mAjNu+XVr+u6BABgiOhbMAgENZr34196WdclAABDRN+CQWDoI807eMtYDt4y1nUZAMCQ0LdgEDiiRvOOfeSeJMlDi5Z2XAkAMAz0LRgEjqgBAAA0RlADAABojKAGAADQGEENAACgMS4mQvP+5tA3dl0CADBE9C0YBIIazXviJXt3XQIAMET0LRgEhj7SvEM3b8ihmzd0XQYAMCT0LRgEjqjRvKN++ECS5L7FI90WAgAMBX0LBoEjagAAAI1xRK1hI6tu7LoEAIB5Rx+MFjiiBgAA0BhBDQAAoDGGPtK8L77mV7suAQAYIvoWDAJBjeY9tdeCrksAAIaIvgWDwNBHmnf4pody+KaHui4DABgS+hYMAkGN5h3+6EM5/FFfpgBAf+hbMAgENQAAgMYIagAAAI0R1AAAABojqAEAADTG5flp3v86/M1dlwAADBF9CwaBoEbzntnD2xQA6B99CwaBoY8076iN9+Wojfd1XQYAMCT0LRgEghrNO/Sx7+fQx77fdRkAwJDQt2AQzCqolVJOLqXcW0p5oJSyql9FAQAAzGczDmqllD2S/Nckv57k8CRnllIO71dhAAAA89Vsjqi9PskDtdaHaq3/nOQzSU7vT1kAAADz12yC2oFJHp5wf6w3DwAAgFkotdaZrVjKbyc5qdb6e73770ry+lrr+7db7pwk5/TuHpbk3pmXS5/tn+SxrovgBbRLu7RNm7RLu7RNm7RLu7RNm/rdLr9Sa1081UKz+RGJsSQHTbi/NMkj2y9Ua70iyRWz2A9zpJSyptY62nUdPJ92aZe2aZN2aZe2aZN2aZe2aVNX7TKboY93JDmklLKslPLiJL+T5PP9KQsAAGD+mvERtVrrM6WUlUn+JskeSa6sta7vW2UAAADz1GyGPqbWelOSm/pUC7ufIalt0i7t0jZt0i7t0jZt0i7t0jZt6qRdZnwxEQAAAObGbM5RAwAAYA4IagAAAI0R1IZMKWW/UsrNpZT7e38X7mC5s3rL3F9KOWvC/A+XUh4upfx0u+XPLqVsLqWs602/N9fPZdjMYdu8pJRybSnlgVLK10spI3P7TIZPH9rmuFLKt3tt8F9KKaU3/6JSyg8mfG5O2V3PaZCVUk4updzbez1XTfL4Dt/zpZQ/6c2/t5Ry0nS3ydTmqF029D4760opa3bPMxk+M22bUsqiUsqtpZSfllIu226dSb/XmL45apfbetvc9u/KK3bPsxkus2ibt5ZS1vY+G2tLKb82YZ3+f2ZqraYhmpL8RZJVvdurkvz5JMvsl+Sh3t+FvdsLe4+9IcmSJD/dbp2zk1zW9fMb5GkO2+bfJrm8d/t3klzb9XMdtKkPbfONJG9MUpJ8Kcmv9+ZflOT8rp/fIE0Zv4rwg0kOTvLiJN9Kcvh2y0z6nk9yeG/5lyRZ1tvOHtPZpmn3t0vvsQ1J9u/6+Q3yNMu22TvJryY5d/t/43f0vWbqvF1uSzLa9fMb5GmWbXNMkl/u3T4iyQ8mrNP3z4wjasPn9CSf6t3+VJJ3TLLMSUlurrX+qNb64yQ3Jzk5SWqt/7fWunG3VDr/zFXbTNzu9UlO9D+fu2zGbVNKWZJk31rr7XX8m/rqHazP9Lw+yQO11odqrf+c5DMZb5+JdvSePz3JZ2qtT9dav5vkgd72prNNdm4u2oX+mHHb1Fp/Vmv9+yRPTVzY91pf9L1d6JvZtM0/1lof6c1fn2RB7+jbnHxmBLXhc8C2znzv72SHxA9M8vCE+2O9eVP5zVLKnaWU60spB82+1HlnrtrmuXVqrc8k+UmSRbOudn6ZTdsc2Lu9/fxtVvY+N1fuaEglzzOdz8CO3vM7a6OZfOfx/81FuyRJTfK3vSFE58xB3fPBbNpmZ9vc2fcaU5uLdtnmv/eGPf4H/zE7I/1qm99M8o+11qczR5+ZWf2OGt0opfzvJK+c5KELpruJSeZN9TsNX0jy6Vrr06WUczP+vwy/NsU6805HbTOTdeadOWybnb3+H0vyZ737f5bkI0neO839zVfTeT/valtM9p+SPiO7Zi7aJUmOr7U+0jvP5uZSyj211q/Oos75aDZtM5ttsnNz0S5J8m9qrT8opeyT5LNJ3pXxozdM36zbppSyPMmfJ3nbLmxzlwlqA6jW+pYdPVZK2VRKWVJr3dg7DPvoJIuNJXnzhPtLMz7meWf73DLh7scz/uZkO120TW+dg5KMlVL2TPKyJD/albrngzlsm7He7YnzH+ntc9OEfXw8yRdnWv88su39vM1zr+cky2z/nt/ZulNtk52bk3bZNoSo1vpoKWV1xockCWq7ZjZts7NtTvq9xrTNRbuk1vqD3t8nSil/nfHPjKC2a2bVNqWUpUlWJ3l3rfXBCcv3/TNj6OPw+XySbVejOyvJ5yZZ5m+SvK2UsrA3FOttvXk71Ou8bvMbSe7uQ63zzZy0zXbb/a0kX+mNj2b6Ztw2vaGST5RS3tAbgvLubetv97l5Z5K75uoJDJE7khxSSllWSnlxxk/i/vx2y+zoPf/5JL/TO19gWZJDMn5y93S2yc71vV1KKXv3jgqklLJ3xj9TPiO7bjZtM6mdfa8xbX1vl1LKnqWU/Xu390pyWnxmZmLGbVNKeXmSG5P8Sa31H7YtPGefmX5cPcXUzpTx8bO3JLm/93e/3vzRJJ+YsNx7M35C9wNJ3jNh/l9k/H8FftH7e1Fv/n/K+EmT30pya5LXdP1cB22aw7ZZkOR/9pb/RpKDu36ugzb1oW1GM/6P5YNJLktSevP/R5JvJ7kz41/6S7p+roMwJTklyX291/OC3rz/mOQ3erd3+J7P+FDWB5PcmwlX3Jpsm6Zu2yXjV1z7Vm9ar106a5sNGT9S8NPevy2H9+ZP+r1m6q5dMn41yLW9f1PWJ/nP6V1B1bR72ibJv0/ysyTrJkyv6D3W98/Mts4EAAAAjTD0EQAAoDGCGgAAQGMENQAAgMYIagAAAI0R1AAAABojqAEAADRGUAMAAGjM/wOFimkk5VkvAwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dcc9780668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 缩尾：\n",
    "r_tail = returns.copy()\n",
    "r_tail[r_tail>returns.quantile(0.95)] = returns.quantile(0.95)\n",
    "r_tail[r_tail<returns.quantile(0.05)] = returns.quantile(0.05)\n",
    "HistPlot(r_tail)\n",
    "\n",
    "## 截尾：\n",
    "r_cut = returns.copy()\n",
    "r_cut=r_cut[r_cut<returns.quantile(0.95)]\n",
    "r_cut=r_cut[r_cut>returns.quantile(0.05)]\n",
    "HistPlot(r_cut)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5. 随机变量\n",
    "\n",
    "###  离散随机变量（Discrete Random Variables） \n",
    "\n",
    "摇一颗骰子100次，k次摇到6，k是随机变量，k的取值是自然数0，1，2，…，100是不连续的。\n",
    "\n",
    "### 连续随机变量（Continuous Random Variables） \n",
    "\n",
    "比如，公共汽车每15分钟一班，有100个人在站台等车时间x是个随机变量，x的取值范围是[0,15]，它是一个区间，从理论上x可以等于这个区间内任意一个数。\n",
    "\n",
    "python numpy包可以用于生成随机变量，导入random模块如下"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dcc97806a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# randint 产生随机整数\n",
    "DiscreteRandomVariable = np.random.randint(1, 7, 100)\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.hist(DiscreteRandomVariable , bins = [1,2,3,4,5,6,7], align='left')\n",
    "plt.xlabel('Value')\n",
    "plt.ylabel('Occurences')\n",
    "plt.legend(['DiscreteRandomVariable'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dcc8903e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# random.uniform生成均匀分布\n",
    "CRV = np.random.uniform(0, 15, 100)\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.plot(CRV)\n",
    "plt.xlabel('People')\n",
    "plt.ylabel('Time')\n",
    "plt.legend(['ContinuousRandomVariable'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6. 一些常见的分布\n",
    "\n",
    "### 二项分布(Binomial Distribution) \n",
    "投一个硬币，0.5概率向上，投了5次，重复50轮，平均每轮硬币正面朝上的次数时多少？"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dcc9923c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#二项分布(Binomial Distribution) \n",
    "BinomialRandomVariable = np.random.binomial(5,0.50,50)\n",
    "\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.hist(BinomialRandomVariable, bins = [0, 1, 2, 3, 4, 5, 6],align='left')\n",
    "plt.xlabel('Value')\n",
    "plt.ylabel('Occurences')\n",
    "plt.legend(['BinomialRandomVariable'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###  正态分布（Normal Distribution） \n",
    "正态分布有两个关键参数，均值和方差，方差约大，正态分布越扁平。\n",
    "均值为0，方差为1的正态分布被称为标准正态分布。任何正态分布都可以通过‘减去均值除以标准差’的方式标准化成标准正态分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dcc87fa6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#正态分布（Normal Distribution） \n",
    "from scipy import stats\n",
    "\n",
    "mu_1 = 0\n",
    "mu_2 = 0\n",
    "sigma_1 = 1\n",
    "sigma_2 = 1.5\n",
    "x = np.linspace(-8, 8, 200)\n",
    "y = stats.norm.pdf(x,mu_1,sigma_1)\n",
    "z = stats.norm.pdf(x,mu_2,sigma_2)\n",
    "\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.plot(x, y, label='sigma=1')\n",
    "plt.plot(x, z, label='sigma=2')\n",
    "plt.xlabel('Value')\n",
    "plt.ylabel('Probability')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "正态分布有两个参数，第一个是均值，决定正态分布‘峰’的位置，第二个是标准差，决定正态分布‘峰’的高低，对比上图，sigma越小的正态分布越‘尖峰’。\n",
    "\n",
    "正态分布的组合可以诞生出许多分布，比如下图两个表示两个正态分布的‘和’。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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8cNItzhIdc2+Cf10Lmz+Gsx+EuKZuVyfiCmMD9Nc2xowGCoFXfgiNR2x/GMiz1t5fzbYMYJi19sCxFJWQkGCLioqO5RAREZFqmT+ET1fNyTaSN+LSoKLUWTZg+I3OF1wRqR++Clj8MCx6EJJS4cInocsYt6uSRsIYU2ytTXC7DqhF91Rr7ZfAweq2GWMMcBkwq47rEhERkUpNLbxu43iDeGjeBW5ZDCOnKzCK1LeIKBh7L9y4AKJinfVPP/mVc+FGpBE50U+b04B91tqtNWy3wHxjzGpjzPSjvZAxZroxZpUxZpXX6z3BskRERMLDaBvBdyQymUh+SylcPx9adne7LJHGJW0o3LwYht8Ey5+AZ8dC9nduVyXSYE40NE7j6K2Mp1prhwBnA7dVdnWtlrX2WWvtMGvtsMjIgEMtRUREwlqkhT/aGL4gnlIsp1DEn0w5ROgzUsQV0fFw7kNwxVtQchBmjIdlT4Df73ZlIvXuuEOjMSYSuBiYU9M+1to9lbc5wNvAiOM9n4iISGPRxRoWE89viOFFKhhMEauMvpiKBIXuZ8Cty5yJcub9CmZOhsIct6sSqVcn0tJ4BrDJWptZ3UZjTIIxJumH+8CZwPoTOJ+IiEjYu9JG8Q2J9CKCyyjmRlNKUfjM5SMSHhJawNSZcM5DkLEEnjrFmdFYpAEZYyYaYzYbY7YZY+6tZnuMMWZO5favjTGdKp+PMsa8bIxZZ4z53hjzy0DnChgajTGzgGVAT2NMpjHmhspNUzmia6oxpq0x5qPKh62BJcaYb4EVwIfW2k8CnU9ERKQxamLhNRvHq8SxFh8DKORfRmP8RYKWMTDiJrjpC0hIgdcugXm/Bm+Z25VJI2CMiQCewBkG2AeYZozpc8RuNwCHrLXdgEeBv1Y+PxmIsdb2B4YCN/8QKGsScGCEtXZaDc9fW81ze4BzKu+nAwMDvb6IiEhjN8x6mEM8HTD8hlL+TDl+tS6KhIbWfeCmz2H+b2HZP2HHl3DpC5qwSurbCGBbZebCGDMbuADYWGWfC4DfV95/E/hn5eoXFkioHG4YB5QD+Uc7mUbTi4iIuMXCT4jmb8SwB8tpFLPc+I6yv+FgUTm5hWXkl1aQX+qlsNRLYZmXgtIKCku9FJR5KS7zUeb1Ue7zU+71U+Z1bst9fip8fo5cotlUCagRHg8xER6iIz3ERP73bWxUBIkxkSTGRpIUG0WT2EgSY5z7SbGRNE+Ipll8NNGRWgpEGpmoOGeSnK7j4N3b4JnRcO4jMKjatheR2oo0xqyq8vhZa+2zlffTgN1VtmUCI484/t/7WGu9xpg8oAVOgLwAyAbigbustdUusfjvQo77VxAREZHj1tTCC8RxEVG8g5ebbCIFtiMJNoUI24II25IIkomwyXhsUyJsEzw0YcgfF9T4msZAYnQk8TERxERGEB3pIboyAEZHekiMiSQqwoOnSkg8MkBW+C3lXh/F5V4OFf936Cyp8FFY5sXnP+KgIzSJjaRlYgwtEqNpkeDcpiTFkJocS2pyHG2bOrcJMfoaImGm1znQ9iuYexO8cwvsXAJn/82ZeVXk2HmttcNq2FZdf5Qj/zjXtM8IwAe0BZoBi40xn/7Qalkd/bUWERGpb9YQYVsQaVOJsm0ZYaN5MWINbSjm994Lecl3MQkYEqoc4qcQnzmMz+ThNVmUeTbiM3k8evb9NE+Ipml8NEmxkSRVtvwlxkSSEB2Jx1O//VqttZRW+CkoraCgzEtBqdPKWVDq5VBxObmFTkvogcoW0e37C1mRUc7BovL/ea0msZG0bRpH26ZxdGgeT6cW8XRsmUCnFgm0axZHVIRaLCUENUmFq96BRX+BLx+CrDUw+WVI6eF2ZRJeMoH2VR63A/bUsE9mZVfUZOAgcDnwibW2AsgxxiwFhgE1hkZjj7zEGAQSEhJsUVGR22WIiEgYMH9ouMGBxsYQZdsR5e9AlO1AlL89kbYtUbYNhmjAckPEx9wbOYu9NOEm70RWEoXPHMBrDuAz+/GaXHzmANaUVnsOe1/wfW7XRrnXz778UvYcLiE7r5Q9eSVkHy4lO6+ErMOl7Motoqj8P11zIzyGtKZxdGwRT9eURLq1SqRH6yR6tE6kaXy0i7+JyDHY9hnMnQ4VJTDpURg4xe2KJIQYY4qttQk1bIsEtgDjgSxgJXC5tXZDlX1uA/pba28xxkwFLrbWXmaM+QXQC7gep3vqSmCqtfa7GmtRaBQRkXBWL6HReoi0bYn2dyXadv53SIy0rTCVE5NbKqgwe6gwmXg9e0kyO3nCs5HzTDHv4OU6ijl8HKWFamgMxFrLgcJyduYWkZFbzK7K24zcIrbnFP5XoExJiqFH60S6t0qiR+sk+qU1oUfrJGKjIlz8DURqkJ8Nb90AO5fCkKvh7AedMZAiARwtNFZuPwd4DIgAXrDWPmCMuR9YZa19zxgTC7wKDMZpYZxqrU03xiQCL+LMumqAF621fztqLQqNIiISzk44NNpIom1Hov1diPJ3Jdp2JdrfGQ+xzmYqqDCZVHh2U2F2UeHZRbnZhddkQ+WkNiNtBHOIIxXD3ZTxD8qrH2lSm3LCNDQejbWWPXmlbNlXwNZ9BWzZV8jWfQVszSmkuDJMRnoM3Vol0i8tmX5tm9A3LZneqU1I1LhJCQY+Lyz8P1j8MLTqC5e9rNlVJaBAobEhKTSKiEhYO6bQaCHCphDj70mMvxfRticx/q6VXUvBTzHlnnTKTTrlnm2Ue9KpMLv/HQ6re72fEs1fiCETy2UUs8r4T+j3aYyhsSZ+vyXzUAkb9uSxfk8e67PyWZ+VR27l+EljoHurRAa3b8bgDk0Z0rEZ3VIS633cp0iNtn7qTJLjLYPz/g4DJrtdkQQxhcYAFBpFRKSuHDU02kii/d2I9fd1QqK/B5G0AMBPGeWebZR5NlFutlLuSa9sPazd52ZTCy8Tx/lEMZcKrqeEvDrIKgqNR2etZV9+GRv25LEuK49vdh9m7a7D5JVUAJAUE8mgDk0Z3N4JkUM7NiMpNsrlqqVRycuCN6+H3cth6LUw8S/qrirVUmgMQKFRRETqyn+FRhtFjL8nsf5+xPj7EePv9e9uphUmizLPZso8myn3bKLcZNTcghjAQOvhLeJpXwfdUY+k0Hjs/H7Ljtwi1u46zJpdh1i76zCb9+bjt+Ax0C8tmZGdmzOycwuGd2pOcrxCpNQzXwV88QAseRRa93e6q7bo6nZVEmQUGgNQaBQRkbpQ4fOT9If+xPoHEesfQIy/J4YoLH4qzA5KPRsoi1hPqWcDfpNXJ+e82kbxNLHkYplMCcuPM3jWRKGxbhSVeVm76zBf78jl6/SDfLP7MOU+P8ZArzZNOKlLc07t2pKTurbQuEipP1vmw9vTwe+Hi5+Bnme7XZEEEYXGABQaRUTkeFhr2ZZTyJJtB1iy9QDL03MpKvdh8VFutlMasY4yz3rKPBvxm7r9nIm28Bix3Eo0n+NlKiXsr2VX1mOh0Fg/Sit8fLP7MF+nH+TrHbms2XWI0go/kR7D4A5NGdUthVHdWzKwXTKRWj9S6tKhnfDGVZD9LYy+G8b+EjyaCVgUGgNSaBQRkdrKL61g8ZYDfLE5hyVbD7A331nfsFOLeE7t1pJH195Mmee7Og+JVbW3hn8Rz0gi+Ctl/JoyfPU014pCY8MorfCxZuchFldegFi/Jw9rISk2kpO7tGBMzxTG9WpFarLGokkdqCiBD38O37wGXcfBJc9DfHO3qxKXKTQGoNAoIiI1+aE18fNNOXyxOYdVGYfw+i3JcVGM6taSUd1bMqpbS9o3jwfqaZ3GKsbbCGYRRwyGaynhbeOt1/MpNLrjYFE5X213AuTirQfIOlwCQO/UJozr5QTIQe2bEaGZWeV4WQtrXoaP7obENjDlFWg72O2qxEUKjQEoNIqISFXlXj9f78hlwcZ9fL4ph8xDzhf2Xm2SOL1XK8b1asXg9k2r7TZYX6HRWLiXaP5IDN/j5xJK2HKCy2nURjiGxvoO9nXOQpRtT5xvBHH+YcT4+2CIwEceJRFreOGyn3J6zxTNyirHJ2s1zLkaivbDuQ/DkKvcrkhcotAYgEKjiIgUlXn5cst+5m3Yy2ebcigo9RIb5WFUt5ac3qsVY3u2Iq1p4K6B9RFIkiuX07iAKGZSwXRKKGqg3KPQGHw8NoFY3xDi/MOJ8w0lgmSiIgyndG3JWX3bMKFPa1KSYtwuU0JJ0QFnWY4di2DINXD2gxAV63ZV0sAUGgNQaBQRaZwOFZWz4Pt9zN+wl8VbD1Dm9dMsPorxvVtzVt82nNa9JbFRxzZBRF0Hkv7Ww1vE0QkPP6OMx+twOY3aUGgMctbDimv3M2/9XuZt3MvugyUYA0M7NOOsvm04q28bOrSId7tKCQV+H3z+J1jyiNNN9bJXoWl7t6uSBqTQGIBCo4hI43G4uJz5G/bx/nd7+Gp7Lj6/Ja1pHBP6OEFxeKdmJzRbZV0GkstsJC8QR17lchpf1fFyGrWh0Bj8fniPrLVs2lvAvA17mbdhH99n5wPQL60Jkwa05dz+qf8eeytSo+/fh7dvhYgouPQF6Hq62xVJA1FoDEChUUQkvOWVVDB/w14+XJfNkq0H8PotHZrHM2lAKuf0T6Vv2yYYUzdBoi4CicfCA8RwLzEsxstkSthXD8tp1IZCY/Cr6T3alVvMvA17+WBdNt/uPgzAwPZNmdQ/lXMHpNK2Ft2tpZE6sA3mXAEHtsD4++DUO6CO/kZK8FJoDEChUUQk/JRW+FiwcR/vrM3iy637qfBZ2jWL49wBqUzq35Z+aXUXFKs60UDS1MIs4plIJE9Rzh2UUuHidzWFxuBXm/do98FiPlyXzQff7WF9ltMCObRjM84bkMp5A9vSIlFjIOUIZYXw7m2w8R3odwmc/0+IVkt1OFNoDEChUUQkPPj9luU7cnlnbRYfr9tLQZmX1ORYJg1I5dwBbRnYLrlegmJVJxJI+lgP7xBHRzzcTinPmYo6rOz4KDQGv2N9jzIOFPHhumze/3YPm/YWEOkxjOmRwkVD0jijd+tjHscrYcxaWPIofHY/tOkHU16HZh3drkrqiUJjAAqNIiKhbeu+AuauzeLdtVnsySslITqCs/uncvHgNE7q0gJPA65ld7yB5AIbyavEUYTlEpfGL1ZHoTH4nch7tHlvAXPXZvLu2j3szS8lKSaScwekctHgNIZ3at6g/+9IENu6AN68ATwRMPkl6DLG7YqkHig0BqDQKCISevYXlPHet3t4e20m67PyifAYRndvyUVD2jGhd2viot1pLTnWQGIs3EcM9xHD1/i4mGL2uDR+sToKjcGvLt4jn9+ybHsuc9dm8sn6vRSX+0hrGsdFg9O4aEgaXVMS66BSCWm522HWNMjdBmc9ACNv0TjHMBNSodEY8wIwCcix1varfO73wE3A/srdfmWt/aiaYycCfwcigBnW2r/UpiiFRhGR0FDu9fPZ9/uYs2o3i7cewOe39E9L5qLBaZw3sG1QrE13LIEkycKrlesvvkg5t1JKWZB9B1NoDH51/R4Vl3uZv2Efb63JZOm2A/itM4HOpUPSOH9QGslxUXV6Pgkhpfnw9i2w+UMYeDlMelTrOYaRUAuNo4FC4JUjQmOhtfahoxwXAWwBJgCZwEpgmrV2Y6CiFBpFRILb9v2FzFm5m7dWZ5JbVE5qciwXDU7j4iFpdGuV5HZ5/6W2gaR75fjFHni4i1L+SUWDrr9YWwqNwa8+36Oc/FLe/WYPc9dm8X12PjGRHs7tn8rUER0Y3qlZvY8RliDk98OXD8LCP0PbITDlNUhOc7sqqQPBFBojA+1grf3SGNPpOF57BLDNWpsOYIyZDVwABAyNIiISfErKfXy0Lps5K3ezIuMgkR7DGb1bM2VEe0Z3TyEihMdanW0jmUkcFVjOoJhFQTJ+UeRIrZrEctPoLtw0ugvrs/KYtWLXv0Nkl5QEpg5vzyVD2mn21cbE44Gx90Kb/jB3Ojw7Fqa8Ch1OcrsyCSO1GtNYGRo/OKKl8VogH1gF/Mxae+iIYy4FJlprb6x8fBUw0lp7ew3nmA5MB4iOjh5aVlZ2XL+QiIjUrfVZecxZuZt3vsmioNRL55YJTBnenouHpNEqKfi7QR21Fcuxw15NAAAgAElEQVTCL4jm/4jhG/xcRDG7gmj8YnXU0hj8Gvo9Ki738uF32cxeuZvVOw8RFWE4s08bpgxvz6huLTV5TmOSswlmXw6Hd8E5D8Kw692uSE5ASLU01uAp4I+Arbx9GDjyX2V1f6Fq/CtqrX0WeBac7qnHWZeIiNSBwjIv76zNYs7K3azLyiM60sM5/dowdUQHRnZuHhZd4OItvEgclxHFTCq4kRJKQv/XkkYoPjqSycPaM3lYe7bsK2DOyt3MXZPJh+uyadcsjimV29okB/9FHjlBrXrBTZ/DWzfCB3dB9ndwzt8gQuNe5cQcV2i01u774b4x5jngg2p2ywTaV3ncDthzPOcTEZGGsS2ngFeW7WTumiwKy7z0apPEH87vy4WD0kiOD58vHZ2s4V3i6YuHn1PKw5QH5fhFkWPVo3USv53Uh3sm9mTehn3MWbmLhxds4bHPtnJmn9ZcdXJHTu7SIiwu/EgN4prC5XOctRyXPgYHtsJlr0BCC7crkxB2XKHRGJNqrc2ufHgRsL6a3VYC3Y0xnYEsYCpw+XFVKSIi9cbr87Ng4z5eWbaTZem5REd4mDQglStP7sjg9k3D7svlGBvBm8QRgeEcipmv8YsShmIiIzh/YFvOH9iWnblFzFyxizkrd/Px+r10b5XI1Sd35KIh7UiMOd5OZxLUPBEw4Q/Qui+8ezs8dzpMmw2t+7hdmYSo2syeOgsYC7QE9gH3VT4ehNPdNAO42VqbbYxpi7O0xjmVx54DPIaz5MYL1toHalOUZk8VEal/+wvKmL1iFzNX7CI7r5S0pnFcPrIDU4e3D6tJNKqOl7vRRvEksWzDz3kUsz3Ixy9WR2Mag1+wvkelFT7e/3YPryzbybqsPBJjIrlkSBpXndwx6GY9ljqUudoZ51heCBc/B73OcbsiqaVgGtNYq4lwGppCo4hI/bDWsnrnIV5ZtpOP12dT4bOc1r0lV53UkfG9W4f0DKg1MX8wRFh4mBjuIIaP8TKVYvJD9FcN1kByIhQaG5a1lm92H+bVZTv54Ltsyn1+Tu3WgqtO6sQZvVsRGeFxu0Spa/l7nOC45xsY/1sY9VMIs14k4UihMQCFRhGRulXm9fHeN3t4cWkGG7PzSYqN5NKh7bjypI50TUl0u7x61fT3htnEM5FIHqGMeyjDF8LflYI9kBwPhUb3HCgsY87K3cz8ehdZh0tomxzLFSd15PIRHWiWEO12eVKXKkqcrqrr34T+k+H8xyEqzu2q5CgUGgNQaBQRqRu5hWW8tnwXry7fyYHCMnq2TuLqUzpy4aA0EhrDWKbc7Wx6fCBd8HArpbxgKtyu6ISFUiCpLYVG93l9fj7flMMry3ayZNsBYqM8XDykHdef2plurcL7wlKjYi0seQQ++yO0HQxTX4cmbd2uSmqg0BiAQqOIyInZsq+A5xfv4O1vsij3+hnbM4UbR3Xh1G6NaNbE9IXwxjUcKD3IxZSwOEwmvAnFQBKIQmNw2bKvgBeW7GDuWufvx+k9U7jxtC6c0rUR/f0Id5s+grk3QXQiTJ0J7Ya6XZFUQ6ExAIVGEZFjZ61l0Zb9PL9kB4u3Vm0p6NT4JrlY8Rx8/Ato2YPO+1eQEYIT3tQk1ANJdRQag9OBwjJeX76LV5dncKCwnF5tkrhhVGfOH9SWmMgIt8uTE7VvI8yaAgX74IJ/woDL3K5IjqDQGIBCo4hI7ZVW+Hh7bRYvLNnB1pxCWiXFcM0pnRrnmCRfBXxyL6ycAd3PgktmYP6a7HZVdSpcAklVCo3BrbTCx3vf7uH5xTvYvK+AlokxXH1yR64Y2SGsZlpulIpy4Y2rYecSGHUXjPsdeDQRUrBQaAxAoVFEJLCDReW8siyDV5bt5GBROX3bNuGGUZ2ZNKAt0ZGN8EO/5BC8cQ3sWASn/ATO+D14IhRIQoDeo9BgrWXptlxmLEln4eb9xER6uHhIGjee1iXsJ9QKa95y+PgeWP0i9DgbLn4WYpu4XZWg0BiQQqOISM12Hyzm+SU7mL1yF6UVfs7o3YobT+vCyM7NG+94o/1bYNZUyNsNkx6DwVf8e1O4BRIJfuEaGqvallPA80syeGtNJhU+P2f2ac0tY7oyuEMzt0uT41WlWz/TZkHzzm5X1OgpNAag0Cgi8r827snnmS+388F32XgMXDgojemju9C9dSMbr3ikbZ/Bv66DiChnJsAOJ/3XZoVGaWiNITT+YH9BGS9/lcEryzLIL/UysnNzbhnblbE9UhrvRaxQlr7I6a5qDFz2KnQ+ze2KGjWFxgAUGkVEHNZalqXn8vSidL7csp+E6AguH9mB60d1JjW5ka+vZS18/QzM+yW06uNcGW/a4X92U2iUhtaYQuMPCsu8zF6xixmLd7A3v5RebZK4ZUxXzh2QSlREI+wuH8pyt8OsaXBwO5zzEAy7zu2KGi2FxgAUGkWksfP5LfM27OWZRdv5NjOPlokxXHdqJ64c2ZHk+Ci3y3OfrwI++jmsfgl6nuuMwYmpfkyVQqM0tMYYGn9Q7vXz7jdZPPNlOttyCklrGseNp3VmyvD2xEc3grVhw0VpHrx1I2ydDyNuhrP+DyL0/jU0hcYAFBpFpLEq8/qYuyaLZxZtJyO3mE4t4rlpdBcuGdKO2ChNcQ9A8UGn+1TG4lrN9qfQKA2tMYfGH/j9ls825fD0ou2s3nmIZvFRXH1yJ647tRNN4xvZrM6hyu+DBb+DZf+ELmNh8ksQpzGrDUmhMQCFRhFpbErKfcxeuYtnv0wnO6+U/mnJ3DKmKxP7tSHCo9DzbzmbnHXF8rPh/Mdh4JSAhyg0SkNTaPxvqzIO8vSi7Xz6fQ4J0RFceXJHbhzVhZQkLdcREta+Bu/fCc06wrQ50LKb2xU1GgqNASg0ikhjUVjm5dVlO3l+SToHCssZ0ak5t43rxujuLTWJxJG2zIc3r4eoOJg6E9oPr9VhCo3S0BQaq7dpbz5PfLGdD7/bQ1SEh2kjOjB9dBfaNm3k47NDwc5lMOdK8Fc4LY5dx7ldUaOg0BiAQqOIhLvDxeW8uDSDl77KIK+kgtO6t+T207sxsksLt0sLPtbCsidgwW+hdV+YNhuS29X6cIVGaWgKjUeXvr+QpxZu5+21WRgDlw5txy1jutKxRVB8N5aaHNrpTJCzfxNM/DOMmO7Msir1RqExAIVGEQlX+wvKmLEkndeW7aSo3MeEPq25/fRuDGzf1O3SgpO3HD68y+ke1fs8uOgZiD62z0+FRmloCo21k3momGcWpTNn1W68Pj8XDErjR2O7ahmhYFZWCHOnw+YPYei1zuyqEZqcrb4oNAag0Cgi4SY7r4RnFqUza8UuKnx+Jg1oy49O70qvNk3cLi14FR2AOVfBrq9g9D0w9pdHnfCmJgqN0tAUGo9NTn4pzy1O57Xluyj1+pjYtw23nd6NfmnJbpcm1fH74fM/wpJHoNNpcNkrEN/c7arCkkJjAAqNIhIusvNKeGrhdmav2I3fWi4eksatY7vRuWVQfAYEr30bYNZUKMyBC56A/pce90spNEpDU2g8PgeLynlx6Q5eWppBQZmXM3q35s4zuis8Bqvv3oB3b4cmqc6wgVa93a4o7Cg0BqDQKCKh7siwOHlYe247vSvtmsW7XVrw2/yxsz5YdCJMmwlpQ0/o5RQapaEpNJ6Y/NIKXl6awXOL08kvVXgMapmrYPblUF4Mlz4PPc5yu6KwEig0GmMmAn8HIoAZ1tq/HLE9BngFGArkAlOstRmV2wYAzwBNAD8w3FpbWuO5FBpFROqOwuIJsBaW/h0+/T2kDoRps6BJ2xN+WYVGaWgKjXVD4TFE5GU6E+TsXQcT7odTfqwJcurI0UKjMSYC2AJMADKBlcA0a+3GKvv8CBhgrb3FGDMVuMhaO8UYEwmsAa6y1n5rjGkBHLbW+mqsRaFRROTEKSyeIG8ZvH8HfDsL+l4EFzwJ0XXz306hURqaQmPdOjI8TujTmjvGKzwGlfIieOdW2PguDLoCJj0KkVqH80QFCI0nA7+31p5V+fiXANbaP1fZZ17lPssqg+JeIAU4G7jcWntlbWuJPP5fQ0REFBbrQGEOzL4CMlfA2F/BmHt0lVpE/q1JbBQ/Ht+da07txEtLM5ixOJ1JG/cpPAaT6AS49CX48kFY+GfI3QZTXofEFLcrC3WRxphVVR4/a619tvJ+GrC7yrZMYOQRx/97H2ut1xiTB7QAegC2MlSmALOttQ8etZBAlRpjXgAmATnW2n6Vz/0NOA8oB7YD11lrD1dzbAZQAPgAr7V2WKDziYiEAoXFOrJ3ndOtqeiAs2B034vcrkhEglST2Ch+Mr471yo8BiePB8beCyk94e1b4bnTnQly2vRzu7JQdrT8VN3V1SO7OdS0TyQwChgOFAOfGWNWW2s/q6mQ2sxd/hIw8YjnFgD9rLUDcPrS/vIox59urR2kwCgi4SA7r4TfvbueMQ8uZObXu7hkaDsW3j2WP1/cX4HxWH3/Pjx/Jvh9cP0nCowiUis/hMcl947jpxN68HV6LpMeX8JNr6xifVae2+VJ34vg+o+dv+3Pnwnff+B2ReEqE2hf5XE7YE9N+1R2T00GDlY+v8hae8BaWwx8BAw52slqNabRGNMJ+OCHlsYjtl0EXGqtvaKabRnAMGvtgYAnqUJjGkUk2OQUlPLkF9uZ+fUutSyeKGth8cPOOl9pQ2HqTEhqU2+n05hGaWga09iw8koqeGlpBs8v+c+Yx59O6EHvVK2D66qCvc7MqlmrYdxv4bSfaejBMQowpjESp/FuPJCFMxHO5dbaDVX2uQ3oX2UinIuttZcZY5oBn+G0NpYDnwCPWms/rLGWOgiN7wNzrLWvVbNtB3AIpxn0mSp9cI9KoVFEgsWhonKe/nI7L3+VQYXPMnloO24f101h8XhVlMB7P4Z1/4L+k+H8xyEqrl5PqdAoDU2h0R0/hMcZS9IpLPMyaUBb7jyjO11TEt0urfGqKIH3fgLr3miwv/nhpBZLbpwDPIaz5MYL1toHjDH3A6uste8ZY2KBV4HBOC2MU6216ZXHXonTW9QCH1lr7zlqLScSGo0xvwaG4aTW/3khY0xba+0eY0wrnC6tP7bWflnDOaYD0wGio6OHlpWVBaxLRKS+5JdW8PziHTy/ZAdF5V4uHJTGHeO706llUKyxG5pcuuqs0CgNTaHRXYeLy3n2y3ReXJpBmdfHJUPa8ZPx3WnfXBf7XGEtLHkEPru/QXqXhJNAobEhHXdoNMZcA9wCjK/sCxvoNX4PFFprHwq0r1oaRcQtxeVeXvoqg2cWpZNXUsE5/dtw1xk96N46ye3SQtuetTDrcijNg4ufgd7nNdipFRqloSk0BocDhWU8tXA7ry7fibWWqcM7cPu4brRuEut2aY3T9x/A3OkQmwzTZkLbwW5XFPRCPjQaYyYCjwBjrLX7azgmAfBYawsq7y8A7rfWfhLofAqNItLQSit8zPx6F08u3MaBwnJO75nCz87sqdn46sL6t+Cd2yChJUybBW36N+jpFRqloSk0BpfsvBIe/3wbb6zcTYTHcPXJHbl1bDeaJ0S7XVrjU3XG7Iue0gRoAYRUaDTGzALGAi2BfcB9OP1fY4Dcyt2WVw6wbAvMsNaeY4zpArxduT0SmGmtfaA2RSk0ikhDqfD5+deqTB7/fCvZeaWc3KUFPz+rB0M7Nne7tNDn9zvrdX35ILQ/Caa85sqaXQqN0tAUGoPTrtxiHvtsC++szSIuKoLrR3XmxtO6kBwX5XZpjUvhfphzJexeDmPuhTG/cJbrkP8RUqHRDQqNIlLffH7Lu99k8dinW9l1sJjBHZpy95k9OaVbS7dLCw/lRfD2zc6yGoOuhEmPQGSMK6UoNEpDU2gMbttyCnh0wVY+XJdNk9hIbh7TlWtP6URCTMDly6WueMvgg7vgm9ehzwVw4dMQrTGnR1JoDEChUUTqi99v+WTDXh5ZsIVtOYX0SW3Cz8/qwek9W2E0FXjdOLwbZk+DfRvgzD/BST9ydZp1hUZpaAqNoWHDnjwemb+Fzzbl0DIxmlvHduOKkR2IjYpwu7TGwVpY9k+Y/1tIHQBTZ0FymttVBRWFxgAUGkWkrllr+WJzDg/P38KGPfl0a5XITyf0YGLfNng8ChV1ZtfXMOcK5yrypS9A9wluV6TQKA1OoTG0rNl1iIfnb2bptlzaNInlx+O7MXloe6Ij1WWyQWyZD29e77Q0Tp0J7Ya5XVHQUGgMQKFRROrSV9sP8NC8zazZdZgOzeO584zuXDAojQiFxbr1zUx4/w5okgaXz4GUnm5XBCg0SsNTaAxNVT8r2jeP487xPbhwsD4rGkTOJpg1BfKznbUcB05xu6KgoNAYgEKjiNSFdZl5PDhvE4u3HiA1OZYfj+vO5GHtiIrQ1eM65ffBp7+Hr/4BnUfD5JchPngmElJolIam0Bi6rLUs3Lyfh+ZvZsOefLq3SuTnZ/XkzD6tNYShvhXlwhtXw84lMOouGPe7Rj9BjkJjAAqNInIi0vcX8vCCLXz4XTbN4qO47fRuXHlSR41TqQ+l+fDWjbB1Hgy/CSb+GSKCayZChUZpaAqNoc9ay8fr9/LQ/M2k7y9iUPum/GJiL07u2sLt0sKbtxw+vhtWvwQ9z3XW9Y1pvOskKzQGoNAoIsdjb14pf/9sK2+s2k1MpIcbR3XmxtFdaBIbXCEmbBxMd9bbOrAVznkQht/odkXVUmiUhqbQGD68Pj9vrcnksU+dZZlG90jhnrO0hm+9shZWPAuf3AspvZ31fZt1dLsqVyg0BqDQKCLH4nBxOU8t2s5LSzPwW8sVIzty2+ndSElyZ4mHRmHHYnjjKufD/bJXoMsYtyuqkUKjNDSFxvBTWuHj1WU7eWLhNg4XVzBpQCo/O7MnnVsGxff58LTtM/jXdU7vlSmvQceT3a6owSk0BqDQKCK1UVzu5cWlGTy9aDuFZV4uGpTGXRN60L651nqqV6tegI/uhuZdnSvALbq6XdFRKTRKQ1NoDF/5pRXM+DKdGUt2UOb1c9mw9twxvjttkmPdLi08HdgKs6bCoZ1w3mMw+Eq3K2pQCo0BKDSKyNFU+PzMXrmbf3y2lf0FZZzRuxU/P6snvdo0cbu08ObzwrxfOt2Gup8Jl8yA2ODvoqXQKA1NoTH87S8o44kvtvH61zvxGMO1p3bi1jFdaRof7XZp4afkkNPimP4FnHw7TLgfPI1jjgKFxgAUGkWkOn6/5f3v9vDIgi3szC1meKdm/GJiL4Z1Cp6ZOsNWySH417WQvjDkPrQVGqWhKTQ2HrsPFvPogi28/U0WiTGR3DKmK9ed2on46Ei3SwsvPi/M+xWseAa6TYBLnw+Ji5YnSqExAIVGEanKWsuiLft58JPNbMzOp1ebJH4xsRdje6ZoCvSGkPO9M+FNfhZMegwGX+F2RcdEoVEamkJj47Npbz4PzdvCp9/vIyUphp+M68aU4R2IjmzcS0bUuarDIy6fDc27uF1RvVJoDEChUUR+sHrnIR78ZBNf7zhIh+bx/OzMHpw3oC0eLbbcML7/AN6+GaIT4LJXocNItys6ZgqN0tAUGhuv1TsP8tePN7MiQ59Z9eaHidjAmYit82h366lHCo0BKDSKyJZ9Bfxt3mYWbNxHy8QY7hivq7YNyu+HRX+FRX+BtkNg6uvQpK3bVR0XhUZpaAqNjZu1loWVvWO+z86nd2oT7jmrp3rH1KUflnzK3Qbn/A2GXe92RfVCoTEAhUaRxivzUDGPLtjK3LWZJEZHcstYjQ9pcGUF8PYtsOkDGHg5THoUokJ3ZkCFRmloCo0C/xmH//D8Lew6WMyITs25Z2JPjcOvK6X58NYNsHU+jJgOZ/0ZIsLru4JCYwAKjSKNz4HCypnolu8CA9ee4sxE1yxBM9E1qNztMPtyZ5rzsx6AkbdAiF8ZV2iUhqbQKFWVe/3MWaUZv+uF3wcLfgfL/ul0U730JUho4XZVdUahMQCFRpHGo6C0ghmLdzBjcTolFT5nzaszupOaHOd2aY3Ptk/hzevBeGDyy9BljNsV1QmFRmloCo1SnSPXFr5wUBo/1drCdeObmfD+nZDYGqa+BqkD3a6oTig0BqDQKBL+Sit8vP71Lp74YhsHi8o5p38bfjqhJ91aJbpdWuNjLXz1OHx6H7Tq44xfbNbJ7arqjEKjNDSFRjmaw8XlPL0onReX7sBvLZeP6MDt47qTkhTjdmmhLWs1zLkKig/C+Y/DgMluV3TCFBoDUGgUCV8+v2Xumkwe+3QrWYdLGNWtJXef1ZOB7Zu6XVrjVFEC7/0Y1v0L+lwIFz7pzJQaRhQapaEpNEpt7M0r5R+fb2XOyt3ERHq4YVRnbhrdhSaxUW6XFroKc5w1hXcuddYUPuMPIT3OUaExAIVGkfBjrWX+xn08NG8zW3MKGdAumXvO6sWo7i3dLq3xOrwb5lwB2d/BuN/AaT8L+fGL1VFolIam0CjHYseBIh6ev5kPvsumaXwUt43txlUndyQ2KsLt0kKTrwLm/RpWPAOdx8ClL4bsOEeFxgAUGkXCy7Ltufz1k018s/swXVISuPvMnkzs10ZTj7spYym8cTX4yuGSGdDjLLcrqjcKjdLQFBrleKzPyuPBeZv5cst+UpNjufOM7lwypB2REVpq6risfR0+uAuSWsOU1yF1gNsVHTOFxgAUGkXCgz4Ag5C1sOp5+PgX0KwzTJ0JKT3crqpeKTRKQ1NolBPx1fYDPPjJZl1orQtZq2H2lVByCC74J/S/1O2KjolCYwAKjSKhLeNAEQ8v2ML73+6haXwUPxrblatP7qSuNm7zlsFHd8Oal6H7WXDJcxCb7HZV9U6hURqaQqOcqB+GdPxt3ma25RQysF0y90zsxandNKTjmBXmwBvXwK6vQm6cY8iFRmPMC8AkIMda26/yuebAHKATkAFcZq09VM2x1wC/qXz4J2vty4HOp9AoEpr25Zfyj8+cQf1RER5uPE2D+oNGXpbTHTVrlTN28fRfg6dxhHiFRmloCo1SV36YPO7RBVvYk1fKqG4tuWdiTwa00+Rxx8RXAfN+BSuehS5jnXGO8c3driqgUAyNo4FC4JUqofFB4KC19i/GmHuBZtbaXxxxXHNgFTAMsMBqYGh14bIqhUaR0JJXXMHTX27nxaU78Pmd6cNvG9eNVkmxbpcmADsWw5vXOTOlXvgk9LnA7YoalEKjNDSFRqlrRy5TdW7/VH56Zg+6pmiZqmOy9rXKcY5tnOEZbfq7XdFRhVxoBDDGdAI+qBIaNwNjrbXZxphUYKG1tucRx0yr3OfmysfPVO4362jnUmgUCQ0l5T5e+iqDpxZuo6DMywUD2/LTCT3p0EILFQcFa2H5kzD/t9C8i7P+YkrPwMeFGYVGaWgKjVJfCkormLF4BzMWp1Pq9TN5aDvuOKM7qclxbpcWOjJXw5zQGOcYTKHxRDr0trbWZgNUBsdW1eyTBuyu8jiz8jkRCWEVPj9vrNrN3z/dSk5BGeN6teLnZ/akT9smbpcmPygrdNZf3DAXek2CC5+CWL0/IiKhLCk2irsm9OCqkzvyxBfbeH35LuauzeLaUzpx65iuNEuIdrvE4NduKNy8yBmy8dYNkP0tjL8vZMY5uuVEWhoPW2ubVtl+yFrb7Ihj7gZirLV/qnz8W6DYWvtwNa8/HZgOEB0dPbSsrOy4fiERqT9+v+XDddk8PH8zGbnFDOvYjHsm9mJE5+AfF1BfgrEVq5v18DZx9MbDryjjQcqhlmWGYwtJML5HIqEmHP82hIPdB4t57NOtzF2bSWJ0JDeP6cL1ozoTH60AFJC3HOb9ElbOcMY49rvY7Yr+R7i0NO4zxqRW6Z6aU80+mcDYKo/bAQurezFr7bPAs+B0Tz2BukSkjllr+XLrAR78ZBMb9uTTs3USz18zjHG9WmkK8CAzyUbyGnFUYJlIMZ8an9sliYhIPWnfPJ6HLxvI9NFdeGj+Zh6av4WXvtrJT8Z3Y+rwDkRHaomrGkVGw7kPO+P8O53mdjVB70T+Jb0HXFN5/xrg3Wr2mQecaYxpZoxpBpxZ+ZyIhIg1uw4x7bnlXPPCCvJKKnh0ykA+uuM0xvdurcAYRDwW7rcxvE88W/EzlCIFRhGRRqLn/7d35+FR1mfbx7/XzGSBAGEn7FsCiLgVCoqCIIiAC64VrS22WutatbWttk/r9vSt7aO1tq6oaFXc6kqtolbFBUVA3ABFQ9jCvgkhIcsk1/vHjDXGhEQSMtv5OY4cmZn7npkL7pk7c85vy2nN3T8cxpMXjKRfpyx+/+wSxv1lDs+8v5aqKrXF7FHf0aDPM/Vq6OypjxBpMewIbASuBp4BHgd6AauB09x9m5kNA85393Oj9/0x8JvoQ/3B3e+r7/k0EY5I7H2+sYj/e3EZLy3dSMdW6VxyVB5nDNe3ljXFQ9fHdg4zackkQsygnAsppWwvy0rGLmjxcIxEEl0ynhuSlbvz+meb+fPsZSxdv5NBOa359cRBjBnYSV/2Jph46p7a4DGNzUmhUSR2CrdHx0csKiQrPcR5oyPjI7IyND6iNrEOJAd7gCdpSQ+MSyhlOhUNHr9Ym2T8YBjrYySSDJLx3JDsqqqc56LzEKzaWsLwPu351cSBDOuTuvMQJJp4Co36FCgiAGzdVcZtry3noXmrwOCcI/pywZhc2msmtvjkcC5p/J1MtuCMpoR31R1VRESiAgHjhIO6MWlIDo8tWMMtr3zOqXe+w/j9OnPFMQMZlKMZtaXhFBpFUtyusjD3vFnA3W8UsLuiktOG9uTS8Xl0a6s1n+JVS4c7yOSHpPMiYc5iN1tMrQAiIvJNacEAZx3am5O/0z26tvJyJt3yJice3J2fHz2Anu21trLUT6FRJEWVhSuZOW81t76Wz7biciYNyeEXEwaQ27l1rEuTPRjoAZ6gBYMJcDWl/C/lVKn3pYiI1KNleogLx+Ry5vBe3Pl6AffNXcFzH8z29o8AACAASURBVK3j+yN6c9HYXDq1zoh1iRLHFBpFUky4soqnFq3lllc+Z+0XuxnZvwO/mjiIg3u2rf/OElOne4i7aUEpzjFaTkNERPZC25bpXDlpEGeP7MPfXv2cB+et4vGFazj3iL6cO7ofbTLTYl2ixCFNhCOSIqqqnH9/vJ6bX/6Mgi3FHNgjm18eM5AjcjtqNrVGaI5JVtIdbiKTi0lnLmFOZzdr91F31GSc7EIT4Yg0XjKeGySiYPMu/vLyZzz30XratUzjorG5nHVobzLTgrEuLeXF00Q4Co0iSc7deeWTTdz08md8sn4nA7u05ucTBjBhsNZZbAr7OpD0duNxWjKcIDdSxlWUEd6HT5mMHwwVGkUaLxnPDfJ1i9fu4M8vLuONzzbTNTuTn43L49ShPUgLaqmtWImn0KhXgUgSezt/Cyff8TbnPrCQkvIwt0w9mOcvHcUx++coMCaAyR5iEa0YSICTKOGXtm8Do4iIpK4h3bN54MfDefgnI8jJzuSqpz5m/F9e5+n3C6ms0pcG8cjMJprZMjPLN7Mra9meYWaPRbe/a2Z9amzvZWa7zOyK+p5LYxpFktCi1du58cVlvL18K12zM/njyQfo28IEEnS4jgx+QwbvU8mplFCg2VFFRKQZjOzfkacu6MCrn27ixpc+4/LHPuT215bz86MHcMz+OQQC+vYyHphZELgNOBooBBaY2Sx3X1ptt3OA7e6ea2ZTgT8Bp1fbfjPwQkOeT6FRJIksXbeTm15axiufbqJjq3R+f9xgzhzRS+MSEkh3Nx6mBaMJMZ1yLqWUUv19FhGRZmRmjNuvC2MHduaFxRv4y8vLuGDmIvbv1oYrJgxkzMBO6rEUe8OBfHcvADCzR4EpQPXQOAW4Jnr5CeBWMzN3dzM7ESgAGjQmUKFRJAks37yLm6OD2NtkhvjlMQM5e2QfsjL0Fk8kx3mI+8kkA+MsdjPTKmJdkoiIpLBAwDj2wK5MHJLDM++v5a+vfMaP7l/A0N7t+MWEAYzs3zHWJaay7sCaatcLgRF17ePuYTPbAXQws93Ar4m0UtbbNRUUGkUSWuH2Em75z+c8uaiQzLQgF43tz3mj+pPdUtNlJ5J0hxvI4HIyWEQlUynhc6uKdVkiIiIABAPGKUN7cMLB3Xh84Rr+/ko+Z979LiP7d+AXEwYytHe7WJeYrEJmtrDa9enuPj16ubam3ppjWera51rgZnff1dAWY4VGkQS0qaiU217N5+H5qzEzzh7ZlwvH9qdjKy3Mm2hyPcCjtGAoQW6hjF9RRrl6/IiISBxKCwb4/ojenPKdHjz87mpun5PPKXe8zVGDOvPzowcwpHt2rEtMNmF3H1bHtkKgZ7XrPYB1dexTaGYhIBvYRqRF8lQz+zPQFqgys1J3v7WuQhQaRRLI9uJy7nqjgPvfXkFFpfO9YT255KhcurVtEevSZC+c4SHuogUVwBRKmGXhWJckIiJSr8y0ID8+oi+nf7cn/3hnJXe9XsBxf3+LyQfkcPn4AeR1aR3rElPBAiDPzPoCa4GpwJk19pkFTAPeAU4FXvXIeoujvtzBzK4Bdu0pMIJCo0hC2FFSwT1vFTDjrRWUVFQy5aBuXDZ+AH06xsXSPfIttXT4O5n8mHTeIswZ7KZQs6OKiEiCycoIceGYXL4/ojf3vrWCe98sYPbiDZx4cHcuHZ9H7w76nLKvRMcoXgy8CASBGe6+xMyuAxa6+yzgXuBBM8sn0sI4dW+fzyJhM75kZWV5cXGDJvIRSWo7dlcw460VzHhrBUVlYY49oCuXjs9jgL7BixvfduH4AzzAY7RgIAH+QDnXUkZlHHVHTcYFvL/tMRKRb0rGc4M0vW3F5dz1+nL+8c5KwpXOaeoR1ShmVuLucZG81dIoEoeKSiu4f+5K7n6zgJ2lYSbun8Ol4/PYr2ubWJcme8vhp6TxVzLZjnM0JbxqlbGuSkREpMm0z0rnqsn7cc4RfbnttcjcC0++V8jp3+3JhWP70zVb4TFRKTSKxJHisjD/eGcl098o4IuSCsbv14XLxudpYHmC6+DGdDI5mTRmE+aH7GazuqOKiEiS6twmk2unDOEno/tx22vLeWT+ah5bsIapw3ty4ZhccrIzY12ifEvqnioSB0rKwzz4zirueqOAbcXlHDWoM5eNz+PAHm1jXZrUo76uj0d7kPtpQUeM31LGTZTjcdxbMhm7oKl7qkjjJeO5QZrPmm0l3D4nn38uLCQQMM4c3osLxvSnSxuFxz2Jp+6pCo0iMVRaUclD81Zx5+vL2bKrnNEDOnH5+DwO6aX1jhJFXYEkI7r24mVksJRKzmQ3HybA2ovJ+MFQoVGk8ZLx3CDNb822Em59NZ8nFhUSjIbHC8f0p7PCY60UGuuh0CjJrrSikkfmr+b2OcvZXFTGEbkdufzoPIb2bh/r0uRbqi2QHOABZtKCAwjyd8r5FaWUJkhuScYPhgqNIo2XjOcGiZ3VW0u49bXPeXLRWkIB4/sjenP+mH50bq3wWJ1CYz0UGiVZlVZU8uj81dz5egEbdpZyaL/2XD5+ACP6dYh1abKXqgcSc7iUdG4gg+04P6KU2Qm29mIyfjBUaBRpvGQ8N0jsrdpazN9fzefp9yPh8axDe3P+kf3p1Doj1qXFBYXGeig0SrIpKQ/z8LurueuNAjYXlTGib3suHZfHyNyOsS5NGunLQNLVjX/QgqMJ8SwVnEspWxJwsptk/GCo0CjSeMl4bpD4sXJLMX979XOeeX8t6aEAPzi0Nz89sj8dW6V2eEyK0GhmA4HHqt3UD/i9u/+12j5jgGeBFdGbnnL36+p7bIVGSRbFZWEenLeKu98oYGtxOYfnduCSo/I4VC2LScOuNU72ENPJpAXG5ZQynQpI0JySjB8MFRpFGi8Zzw0Sfwo27+LWV/N55oO1ZISCfH9EL84b3S9lxzwmRWj82oOYBYG1wAh3X1Xt9jHAFe5+3Ld5PIVGSXRFpRU88M4q7nmzgO0lFYwe0ImfHZXLsD4as5hUyoqY8cfO/Jh0FlDJWezmswSY7GZPkvGDoUKjSOMl47lB4tfyaHh89oO1hIIBzvhuT356ZH+6tU2tdR7jKTQ21TqN44Dl1QOjSCraUVLBfW+vYMZbK9hZGmbcoM5cMi6Pg3tq6Yyks+JNePZCziaNP1DGNZQRVjYRERFptP6dWnHz6Qdz6bg87piznJnvrubh+as5dWgPLjgyl14dWsa6xJTTVKFxKvBIHdsOM7MPgXVEWh2X1LaTmZ0HnAeQnp7eRGWJNI/txeXMmLuC++eupKgszITBXbjkqDwO6JEd69KkqZWXwH+ugfl3Qbu+jKaEuVYZ66pERESSTp+OWfzp1AO5ZFwud71ewGML1vD4wkKmHNyNi8bm0r9Tq1iXmDIa3T3VzNKJBML93X1jjW1tgCp332Vmk4Fb3D2vvsdU91RJFFt3lXH3myt48J2VFJdXMvmAHC4em8fgbm1iXZrsC6vnwTMXwLYCGP5TGH819sfk+oOVjF3Q1D1VpPGS8dwgiWfjzlKmv1HAzHdXURau4tgDunLxUbkMyknOz13J1j11ErCoZmAEcPed1S4/b2a3m1lHd9/SBM8rEjMbdpRyz5sFzHx3NaXhSo47sBsXj81lYE7rWJcm+0LFbnj1f+Gd26BtT5j2HPQdFeuqREREUkqXNpn87rjBXDCmP/dEv7R/7qP16uHVDJoiNJ5BHV1TzSwH2OjubmbDgQCwtQmeUyQmVm4p5q43lvPke2updOeEgyLdI3I7J1drk1RTuDDSurjlMxj6I5hwPWToywEREZFY6dgqgysnDeL8I/tx39yV3Dd3BS8t3cjYgZ24+Kg8hvZuF+sSk06jQqOZtQSOBn5a7bbzAdz9TuBU4AIzCwO7gakejwtDitRjybod3DFnOc9/vJ5QMMD3vtuD80b110DsZBYugzk3wNy/QuuucNZTkDsu1lWJiIhIVNuW6Vx+9ADOGdWXB99Zxb1vreCUO97m8NwOXDgml5H9O2CmIQpNoUmW3GhqGtMo8WL+im3cPiefOcs20yojxPcP7cU5R/Slc+vUXC8oZaz7INK6uGkpHHIWHPP/ILP2Li/JNl4uGcctJdsxEomFZDw3SPIpKQ/z8LurueuNAjYXlXFQj2wuGNOfCYNzCAQS729Bso1pFEkq7s6cZZu5fU4+C1Zup31WOldMGMAPDutDdou0WJcn+1K4DN64Ed76C7TsCGc+DgOOiXVVIiIi0gAt00OcO6ofZx3am6cWreWuN5Zz/kOL6Ncpi/OP7M+JB3cnPRSIdZkJSS2NIlGVVc6/P17PHXOW88n6nXTLzuS80f04/bu9aJEejHV5sq+tegf+9bPI2MUDp8KkG6BF/WMi1IolIqlALY2SiMKVVbyweAO3Rz/bdc3O5NxR/ThjeE9apsd/21k8tTQqNErKKwtXRr6Nen05K7eW0D/6bdQUfRuVGkp3wH+uhYX3QnYvOP5myB3f4LsrNIpIKlBolETm7rz+2WZun7Oc+Su20bZlGmeP7MO0w/rQLit+14dXaKyHQqM0h52lFTw6fzX3vrWCjTvLOLBHNhcmcL932Quf/hv+/QvYtRFGXABjfwMZ324mXIVGEUkFCo2SLN5btY075iznP59somV6kDOG9+Ino/qRkx1/81XEU2iM/3ZZkSa27ovd3Dd3BY/MX8OusjCH9evAjacdxBG5HTXDVqoo2gAv/AqWPgtdhsDUmdB9aKyrEhERkX1saO/23DOtPcs2FHHn68u5/+2VjBvUOS5DYzxRS6OkjMVrd3DPmwU899F6HDj2gK78ZFQ/LQSbStxh0QPw0u8gXApjfg0jfwbBvZ/gSC2NIpIK1NIoyWr9jt3ktMmMy4YDtTSKNJMv+7Df/WYBc/O3kpUeZNrIPvzo8D70aKc1FlPK1uXwr0th5ZvQ+wg4/hbomBvrqkRERCSGuma3iHUJCUGhUZJSWbiSWR+s4543V7BsYxFd2mRw5aRBnDG8l5bNSDXhcnj7b/D6nyGUCcf/DQ75AQQ0yZGIiIhIQyg0SlLZUVLBzPmruH/uSjYVlTEopzU3nXYQxx/UTTOhpqKC1+H5KyLLaAyeApP+DK1zYl2ViIiISEJRaJSksGZbCTPmruCxBWsoKa9kVF5HbjztIEblaXKblFS0AV76H/j4n9CuD3z/Ccg7OtZViYiIiCQkhUZJWO7OwlXbuW/uCmYv3kDAjBMO6sa5o/oxuFubWJcnsVAZhgX3wGt/iEx0c+SVcMRlkKbxCiIiIiJ7S6FREk5ZuJLnPlzPfW+vYPHanWS3SOMno/tx9sg+GsycygoXwnOXw4aPoP9RMPlG6NA/1lWJiIiIJDyFRkkYm4pKmTlvNTPfXc2WXWXkdm7FH04awkmHdKdlul7KKWvXJvjPtfDBQ9C6K5x2Pww+EdQtWURERKRJ6JO2xL2PC3dw39wV/OujdVRUOkcN6syPDu/DEbnJP15RawDWLeRwCelcTQYtgFso57qiZex64uRYlyYiIiKSVBQaJS6FK6t4aelGZry1goWrtpOVHuT7I3ozbWQf+naMizVOJYbGe5C/kcl+BHmBMJdRymdWFeuyRERERJKSQqPElU07S3l0wRoefnc1G3aW0qt9S3533GBOG9aDNplaXzHV9XXjJjI5iTTyqeI4Svg3YVCDrIiIiMg+o9AoMefuzF+xjQfnrWL24g2Eq5xReR25/sQhHDWoM8GAEkGqa+1wJRn8nHTCwJWUcjPllOulISIiIrLPKTRKzOwqC/PM+2t5aN4qPt1QRJvMENNG9uGsQ3urC6oAEHT4MWlcTwZdCPAQ5fyaMtaZx7o0ERERkZSh0CjN7vONRTw0bxVPLlrLrrIw+3drw59OOYATDupOi/RgrMuTODHBg9xEJkMI8gZhjqOEhRq3KCIiItLsFBqlWZSHq3h56UYemreKdwq2kh4McOyBXfnBYb05pGfbpJ8FVRpusAe4kUwmESKfKk6mhKc1blFEREQkZhQaZZ9asaWYRxes5omFhWwtLqd72xb8auJAvjesJx1bZcS6PIkjOW5cTQY/IY2dwM8p5TaNWxQRERGJOYVGaXJl4UpeWrKRh99dzTsFWwkGjPH7deaM4b0YlddJE9vI17Rx+BUZXE46IeBWyrmOcrZp3KKIiIhIXGh0aDSzlUARUAmE3X1Yje0G3AJMBkqAs919UWOfV+JPweZdPLpgDU+8V8i24nJ6tGvBL48ZyGlDe9C5TWasy5M4k+FwEen8hnQ6EGAmFfyOUlYoLIqIiIjElaZqaRzr7lvq2DYJyIv+jADuiP6WJFBaUcmLSzbwyPzVzCvYRihgjN+vC2eM6MWo3I4E1KooNQQcfkAa15FBLwLMJsxVlPCBJrkRERERiUvN0T11CvCAuzswz8zamllXd1/fDM8t+4C7s3jtTv753hqe/WAdO3ZX0Kt9S7Uqyp45nEiI68lgCEHmU8nZFPOaVca6MhERERHZg6YIjQ68ZGYO3OXu02ts7w6sqXa9MHrb10KjmZ0HnAeQnp7eBGVJU9u6q4xnPljHPxeu4dMNRaSHAhyzfw7fG9aDw/urVVHq4DCZENeRwVCCLKOSUynhSc2IKiKSMOza5Dph+9UaCiHybTRFaDzc3deZWWfgZTP71N3fqLa9trPMN96p0bA5HSArK0vv5DgRrqzi9c828/jCNbz66SYqKp2DemRz/YlDOOHAbmS3TIt1iRKvHMYT5HoyOJQQy6liGruZSQWVyfXZQ0RERKTZmdlEInPHBIF73P2GGtszgAeAocBW4HR3X2lmRwM3AOlAOfBLd391T8/V6NDo7uuivzeZ2dPAcKB6aCwEela73gNY19jnlX0rf1MR/1xYyFPvr2VzURkdW6Vz9sg+nDq0JwNzWse6PIlzoz0SFkcTYjVV/ITd3E8FYYVFERERkUYzsyBwG3A0kby1wMxmufvSarudA2x391wzmwr8CTgd2AIcH234GwK8SKQnaJ0aFRrNLAsIuHtR9PIE4Loau80CLjazR4lMgLND4xnj09ZdZTz30Xqeen8tH675glDAGDuoM6cN7cHYQZ1JCwZiXaLEM4cxBPkfMhhHiHVUcRG7uYcKrbUoIiIi0rSGA/nuXgAQzVpTgOqhcQpwTfTyE8CtZmbu/n61fZYAmWaW4e5ldT1ZY1sauwBPR1bVIAQ87O6zzex8AHe/E3ieyHIb+USW3PhRI59TmlBpRSUvL93IM++v5fXPNhOucvbr2obfTt6PEw/pTqfWGbEuUeKdwwSC/I4MjiDEeqq4nFLupJxShUURERGRfaG2eWNqrlDx333cPWxmO4AORFoav3QK8P6eAiM0MjRGk+1Btdx+Z7XLDlzUmOeRplVV5cwr2MrT76/lhcUb2FUWJqdNJueM6stJh3RnUE6bWJcoicDheEL8DxkMJ8jqaMvivVRQprAoIiIi0lghM1tY7fr0apOONmTemD3uY2b7E+myOqHeQurbQZLHsg1FPPV+IbM+WMf6HaW0yggxaUgOJ32nOyP6diCo2U+lAQIOJxPit2RwMEGWU8W57OYBKqjQS0hERESkqYTdfVgd2xoyb8yX+xSaWQjIBrYBmFkP4Gngh+6+vL5CFBqT3OqtJfzro3X868N1fLqhiFDAOHJAJ34zeT+OHtyFzLRgrEuUBJHhMI00riCdvOjSGT9kNw9rNlQRERGR5rYAyDOzvsBaYCpwZo19ZgHTgHeAU4FX3d3NrC3wb+Aqd5/bkCdTaExC677Yzb8/Ws9zH63jw8IdAAzt3Y5rjh/M8Qd1o0MrjVOUhmvrcAHp/Ix0cgiwILrO4tOEqVJYFBEREWl20TGKFxOZ+TQIzHD3JWZ2HbDQ3WcB9wIPmlk+kRbGqdG7XwzkAr8zs99Fb5vg7pvqej6LDDmML1lZWV5cXBzrMhLKpqJSXvh4A899tI4FK7cDcED3bI4/qCvHHtiN7m1bxLhC2RuxXEy5uxuXk855pNMaYzZh/kQZc6isvYe8iIhIgvCr4+/zr0hNZlbi7lmxrgPU0pjQtheXM3vJBv714TrmFWylymFgl9ZcMWEAxx3YjT4d4+I1JgnmEA9wGelMJY0A8CgV/B/lfGRVsS5NRERERGJAoTHBbCoq5cUlG5m9eD3zCrZRWeX07ZjFxWNzOe6gbgzo0jrWJUoCCjhMIcRlpDOaEEU4d1DOzZSzyvRtrIiIiEgqU2hMAIXbS5i9eAMvLtnAwlXbcYd+HbP46eh+TD6gK/t3a0N0rUyRb6WNw4+j4xX7EmBFdI3FGZSzUy8pEREREUGhMW6t2FLMC4vXM3vxBj6KTmYzKKc1l47LY9KQrgzo0kpBUfbaQA9wAWn8iHTaYLxBmF9QyrOa3EZEREREalBojCPhyipufS2f2Ys38OmGIgAO6pHNrycOYuKQHPpqjKI0QtDhBEJcRDrjCFGO8zgV3Ew5izReUURERETqoNAYR0LBALMXb6BNZhq/P24wxwzJ0ayn0mg5bvyENM4jnR4EWEUVV1HKvVSwWeMVRURERKQeCo1x5tmLDycjFIx1GZLgzGEsQc4jnZMJkRZdMuNCSvm3uqCKiIiIyLeg0BhnFBilMbq5cTZpnEM6/QiwDedvlHMH5SxXq6KIiIiI7AWFRpEEF3SYTIhzSeNYQgQxXiHMbynlacKUqVVRRERERBpBoVEkQQ3yANNI44ek0Y0A66niT5QzQ62KIiIiItKEFBpFEkgHN6YSYhrpfJcgYZwXCHNBdKxipVoVRURERKSJKTSKxLk0h2MJMS3a/TQN430quYxSHqGCTWpVFBEREZF9SKFRJB5VVcKqudzlmZxCiA7R7qe3UM4DVPCx1lUUERERkWai0CgSL9xh7SJY/AQsfgp2beBM0niWMA9RysvqfioiIiIiMaDQKBJL7rDhY1j6DCx+EravhGA65E2AIafQ+YlT2K2gKCIiIiIxZO7xNx4qKyvLi4uLY12GJCC7Nv4TljkcSpCTCXEyafQjQCXOf6jkUSp4mgp2xP8/Q0REJGH51fH3+VekJjMrcfesWNcBamkUaRYhhyMJcjJpnEiIbgQox3mZMH+gjFmE2aIJbUREREQkDik0iuwjmQ5HE+JkQpxAGu0xiqNLZDxJKc8TZqdaFEVEREQkzu11aDSznsADQA5QBUx391tq7DMGeBZYEb3pKXe/bm+fUyTedXNjEiEmE2ICIVphfIEziwqeIsxLhDVGUUREREQSSmNaGsPAL9x9kZm1Bt4zs5fdfWmN/d509+Ma8TwicSvoMIIgkwlxLCEOJgjAGqp4iAqeooI5VFKhoCgiIiIiCWqvQ6O7rwfWRy8XmdknQHegZmgUSSod3Tgm2po4kRDtMcI4c6nk19Fup4upAgVFEREREUkCTTKm0cz6AIcA79ay+TAz+xBYB1zh7kvqeIzzgPMA0tPTm6IskSaRHp3t9ChCTCDICIIEMDZSxSwqeJ4wLxPmC4VEEREREUlCjQ6NZtYKeBK4zN131ti8COjt7rvMbDLwDJBX2+O4+3RgOkSW3GhsXSJ7K+BwMAHGEWIcIUYRpCVGJc5CqriWMp4nzHtU4QqKIiIiIpLkGhUazSyNSGCc6e5P1dxePUS6+/NmdruZdXT3LY15XpEm5TCAAOMIMo4QY6NdTgGWUsm9VPAKYeYQ1vqJIiIiIpJyGjN7qgH3Ap+4+1/q2CcH2OjubmbDgQCwdW+fU6QpmMNgAhxBkCMIMoYQPQgAsIoqnomGxFepZIPWThQRERGRFNeYlsbDgR8AH5vZB9HbfgP0AnD3O4FTgQvMLAzsBqa6uz6FS7PKcBgWDYhHEORwQrSLtiSup4o3qeQVyniFMMtxTWAjIiIiIlJNY2ZPfYt6Pl67+63ArXv7HCJ7o70bh1ULid8lSEa17qb/pIK3qOQtwqxQSBQRERER2aMmmT1VJGbKi2H9R7D2PVi3iHxvRf9oV9NynIVUcgvlvEUlb1PJVnU3FRERSXl2bfJ9Y+xX6zOO7DsKjZI4Kitg01JYuygaEt+PXPeqyPbsniyikjspZz6VzKeS0uT7myAiIiIi0qwUGiU+le2KBMINH3/1s3ExhEsj21u0g+5DYeDkyO/u34FWnfleEn5zKCIiIiISSwqNElvuULT+m+Fw63Ig2s0iMxu6HADDzomEw+5DoV0fMAVEEREREZF9TaFRmk/xVtj8KWz+BDYvi1zeuARKqq3C0rY35BwAB3wPcoZELmf3VEAUEREREYkRhUZpWu5QvDkaDpfBpmoBsWTLV/ult4JOA2HgJMg5MBIOu+wfaVUUEREREZG4odAoe6d0R6QL6baCyO+t+bBteeRy6Rdf7ZfRBjoNioTDToMiP50HQZvuaj0UEREREUkACo1SO3co2QZfrIr8VA+I25ZHWhOra9MDOvSD/U+KtCB2GhgJiK27KhyKiIiIiCQwhcZUVrozGgpXw/ZoONwevf7FKijf9fX9W+VAh/4wYGLkd4dcaN8f2veFtBax+TeIiIiIiMg+pdCYrMpLYOc62Ln2q58da7+6bUfh17uRQmScYdve0LYX9B311eW2vSLBMKN1bP4tIiIiIiISMwqNiaZiNxRtgF2bYNfGr/8UbfwqFO7e9s37tuwQGUuY3RN6HRr53a53NBz2hpbt1ZVURERERES+RqEx3ix/LbJu4ZchcNfGaECMBsWynd+8jwUgqxO06gzZ3aHncGjTDbJ7RH636R75rS6kIiIiIiLyLSk0xptnLoSidZHL6a0jQbB1TmRJilZdItdb5Xx1uXVOpAUxEIxt3SIiIiIikpQUGuPNmY9BRqtIKEzPinU1IiIiIiKS4hQa403XA2NdgYiIiIiIyH8FYl2AiIiIiIiIfDtmNtHMlplZvpldWcv2DDN7LLr9XTPrU23bVdHbl5nZMfU9l0KjiIiIiIhIAjGzIHAbMAkYDJxhZoNr7HYOQmvJDQAACAlJREFUsN3dc4GbgT9F7zsYmArsD0wEbo8+Xp0UGkVERERERBLLcCDf3QvcvRx4FJhSY58pwD+il58AxpmZRW9/1N3L3H0FkB99vDopNIqIiIiIiMSfkJktrPZzXrVt3YE11a4XRm+jtn3cPQzsADo08L5fL2Tv6hcREREREZF9KOzuw+rYZrXc5g3cpyH3/Rq1NIqIiIiIiCSWQqBntes9gHV17WNmISAb2NbA+35No0JjY2bsERERERERkb2yAMgzs75mlk5kYptZNfaZBUyLXj4VeNXdPXr71GhW6wvkAfP39GR7HRobM2OPiIiIiIiI7J3oGMWLgReBT4DH3X2JmV1nZidEd7sX6GBm+cDPgSuj910CPA4sBWYDF7l75Z6ezyJh89szs8OAa9z9mOj1q6JF/LHaPi9G93kn2iS6Aejk9TxpVlaWFxcX71Vdktrs2tq6aIuIiIgkN7967z7TS/wysxJ3z4p1HdC47qmNmbFHREREREREEkBjZk9tzIw933ywyBSyX04j62a2uxG1ydeFgHCsi5Bv0HGJTzou8UnHJT7puMQnHZf4tE+Pi12j3laNEK/vmRaxLuBLjQmN32bGnsIaM/Z8g7tPB6Y3oh6pg5kt3MN0vRIjOi7xScclPum4xCcdl/ik4xKfdFzil45N/RrTPbUxM/aIiIiIiIhIAtjrlkZ3D5vZlzP2BIEZX87YAyx091lEZux5MDpjzzYiwVJEREREREQSRGO6p+LuzwPP17jt99UulwKnNeY5pEmo22980nGJTzou8UnHJT7puMQnHZf4pOMSv3Rs6rHXS26IiIiIiIhI8mvMmEYRERERERFJcgqNIiIiIiIiUieFxiRkZo+Z2QfRn5Vm9kEd+600s4+j+y1s7jpTjZldY2Zrqx2byXXsN9HMlplZvpld2dx1phoz+z8z+9TMPjKzp82sbR376f3SDOp7/ZtZRvQcl29m75pZn+avMrWYWU8ze83MPjGzJWZ2aS37jDGzHdXOb7+v7bGkadV3XrKIv0XfLx+Z2XdiUWcqMbOB1d4HH5jZTjO7rMY+er80EzObYWabzGxxtdvam9nLZvZ59He7Ou47LbrP52Y2rbZ9UonGNCY5M7sJ2OHu19WybSUwzN23NHthKcjMrgF2ufuNe9gnCHwGHE1kndMFwBnuvrRZikxBZjaByHJAYTP7E4C7/7qW/Vai98s+1ZDXv5ldCBzo7ueb2VTgJHc/PSYFpwgz6wp0dfdFZtYaeA84scZxGQNc4e7HxajMlFTfeSn65eQlwGRgBHCLu49ovgpTW/ScthYY4e6rqt0+Br1fmoWZjQZ2AQ+4+5DobX8Gtrn7DdEvJ9vV/LtvZu2BhcAwwImc94a6+/Zm/QfEEbU0JjEzM+B7wCOxrkUabDiQ7+4F7l4OPApMiXFNSc3dX3L3cPTqPKBHLOtJcQ15/U8B/hG9/AQwLnquk33E3de7+6Lo5SLgE6B7bKuSBppC5MOyu/s8oG30SwBpHuOA5dUDozQvd3+DyLJ/1VX/O/IP4MRa7noM8LK7b4sGxZeBifus0ASg0JjcRgEb3f3zOrY78JKZvWdm5zVjXans4mgXoRl1dIfoDqypdr0QfThrTj8GXqhjm94v+15DXv//3Sca9ncAHZqlOiHaHfgQ4N1aNh9mZh+a2Qtmtn+zFpa66jsv6W9KbE2l7i/u9X6JnS7uvh4iX4oBnWvZR++dGhq1TqPEjpn9B8ipZdNv3f3Z6OUz2HMr4+Huvs7MOgMvm9mn0W9kZC/t6bgAdwDXE/kjfz1wE5GQ8rWHqOW+6kPeSA15v5jZb4EwMLOOh9H7Zd9ryOtf75EYMbNWwJPAZe6+s8bmRUBvd98V7RL5DJDX3DWmoPrOS3q/xIiZpQMnAFfVslnvl/in904NCo0Jyt3H72m7mYWAk4Ghe3iMddHfm8zsaSJdw/QhuBHqOy5fMrO7gedq2VQI9Kx2vQewrglKS2kNeL9MA44DxnkdA731fmkWDXn9f7lPYfQ8l803ux5JEzOzNCKBcaa7P1Vze/UQ6e7Pm9ntZtZRY4D3rQacl/Q3JXYmAYvcfWPNDXq/xNxGM+vq7uuj3bU31bJPITCm2vUewJxmqC1uqXtq8hoPfOruhbVtNLOs6IQGmFkWMAFYXNu+0jRqjCM5idr/vxcAeWbWN/ot5VRgVnPUl6rMbCLwa+AEdy+pYx+9X5pHQ17/s4AvZ7E7lcgkRin97e++Fh0zei/wibv/pY59cr4cW2pmw4l8vtjafFWmngael2YBP4zOonookYnx1jdzqamqzt5eer/EXPW/I9OAZ2vZ50Vggpm1iw4nmhC9LWWppTF5faMfvZl1A+5x98lAF+Dp6DkrBDzs7rObvcrU8mczO5hI94aVwE/h68clOoPnxUROTEFghrsviVXBKeJWIINI1y6AedGZOfV+aWZ1vf7N7DpgobvPIhJeHjSzfCItjFNjV3HKOBz4AfCxfbWE02+AXgDufieRAH+BmYWB3cBUhfl9rtbzkpmdD/89Ls8TmTk1HygBfhSjWlOKmbUkMgv0T6vdVv246P3STMzsESIthh3NrBC4GrgBeNzMzgFWA6dF9x0GnO/u57r7NjO7nsiXmQDXuXtK92rRkhsiIiIiIiJSJ3VPFRERERERkTopNIqIiIiIiEidFBpFRERERESkTgqNIiIiIiIiUieFRhEREREREamTQqOIiIiIiIjUSaFRRERERERE6vT/AVTRQ6lXup75AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dcc88f18d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(7)\n",
    "x = (np.random.normal(1,5,100) + np.random.normal(3,4,100))/2\n",
    "y = stats.norm.pdf(np.linspace(-8, 10, 200),1,5)\n",
    "z = stats.norm.pdf(np.linspace(-8, 10, 200),3,4)\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "ax1 = fig.add_subplot(111)\n",
    "ax1.hist(x, bins =np.linspace(-8, 10, 15),align='left',facecolor='g')\n",
    "ax2 = ax1.twinx()\n",
    "y = stats.norm.pdf(np.linspace(-8, 8, 200),1,5)\n",
    "z = stats.norm.pdf(np.linspace(-8, 8, 200),3,4)\n",
    "ax2.plot(np.linspace(-8, 10, 200), y)\n",
    "ax2.plot(np.linspace(-8, 10, 200), z)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### t分布 （T-Distribution）\n",
    "\n",
    "t分布概率密度曲线以0为中心，左右对称的单峰分布；期形态变化与自由度大小有关，自由度越小，分布越散，而自由度与样本量和变量数量有关。当自由度为30时，t分布已经接近标准的正太分布曲线,当自由度为120时，等于正太分布。一般自由度为1-30,40,50,...,120。与标准的正态分布相比，t分布呈现‘尖峰厚尾’的特点，更符合金融数据形式。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dcc8715080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# t-分布\n",
    "x = np.arange(-4,4.004,0.004)\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.plot(x,stats.t.pdf(x, 1),'r', label='df=1')\n",
    "plt.plot(x,stats.t.pdf(x, 5), label='df=5')\n",
    "plt.plot(x,stats.t.pdf(x, 30),'y', label='df=30')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看到，df=1的t分布尾部概率比df=5和30的t分布更‘厚’。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
